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= \\frac{\\pi h}{6} \\left(3a^2 + h^2\\right), \\qquad M = \\pi \\left(a^2 + h^2\\right)",[584,1051,1053,1072,1280],{"className":1052,"ariaHidden":614},[613],[584,1054,1056,1060,1063,1066,1069],{"className":1055},[618],[584,1057],{"className":1058,"style":1059},[622],"height:0.6833em;",[584,1061,974],{"className":1062,"style":904},[627,628],[584,1064],{"className":1065,"style":671},[670],[584,1067,800],{"className":1068},[675],[584,1070],{"className":1071,"style":671},[670],[584,1073,1075,1079,1157,1161,1253,1256,1260,1264,1267,1271,1274,1277],{"className":1074},[618],[584,1076],{"className":1077,"style":1078},[622],"height:2.0574em;vertical-align:-0.686em;",[584,1080,1082,1086,1154],{"className":1081},[627],[584,1083],{"className":1084},[894,1085],"nulldelimiter",[584,1087,1089],{"className":1088},[978],[584,1090,1093,1145],{"className":1091},[845,1092],"vlist-t2",[584,1094,1096,1140],{"className":1095},[849],[584,1097,1100,1113,1124],{"className":1098,"style":1099},[853],"height:1.3714em;",[584,1101,1103,1107],{"style":1102},"top:-2.314em;",[584,1104],{"className":1105,"style":1106},[860],"height:3em;",[584,1108,1110],{"className":1109},[627],[584,1111,989],{"className":1112},[627],[584,1114,1116,1119],{"style":1115},"top:-3.23em;",[584,1117],{"className":1118,"style":1106},[860],[584,1120],{"className":1121,"style":1123},[1122],"frac-line","border-bottom-width:0.04em;",[584,1125,1127,1130],{"style":1126},"top:-3.677em;",[584,1128],{"className":1129,"style":1106},[860],[584,1131,1133,1137],{"className":1132},[627],[584,1134,984],{"className":1135,"style":1136},[627,628],"margin-right:0.0359em;",[584,1138,605],{"className":1139},[627,628],[584,1141,1144],{"className":1142},[1143],"vlist-s","​",[584,1146,1148],{"className":1147},[849],[584,1149,1152],{"className":1150,"style":1151},[853],"height:0.686em;",[584,1153],{},[584,1155],{"className":1156},[924,1085],[584,1158],{"className":1159,"style":1160},[670],"margin-right:0.1667em;",[584,1162,1165,1175,1178,1209,1212,1215,1218,1247],{"className":1163},[1164],"minner",[584,1166,1170],{"className":1167,"style":1169},[894,1168],"delimcenter","top:0em;",[584,1171,806],{"className":1172},[1173,1174],"delimsizing","size1",[584,1176,996],{"className":1177},[627],[584,1179,1181,1184],{"className":1180},[627],[584,1182,761],{"className":1183},[627,628],[584,1185,1187],{"className":1186},[841],[584,1188,1190],{"className":1189},[845],[584,1191,1193],{"className":1192},[849],[584,1194,1197],{"className":1195,"style":1196},[853],"height:0.8641em;",[584,1198,1200,1203],{"style":1199},"top:-3.113em;margin-right:0.05em;",[584,1201],{"className":1202,"style":861},[860],[584,1204,1206],{"className":1205},[865,866,867,868],[584,1207,797],{"className":1208},[627,868],[584,1210],{"className":1211,"style":904},[670],[584,1213,1005],{"className":1214},[908],[584,1216],{"className":1217,"style":904},[670],[584,1219,1221,1224],{"className":1220},[627],[584,1222,605],{"className":1223},[627,628],[584,1225,1227],{"className":1226},[841],[584,1228,1230],{"className":1229},[845],[584,1231,1233],{"className":1232},[849],[584,1234,1236],{"className":1235,"style":1196},[853],[584,1237,1238,1241],{"style":1199},[584,1239],{"className":1240,"style":861},[860],[584,1242,1244],{"className":1243},[865,866,867,868],[584,1245,797],{"className":1246},[627,868],[584,1248,1250],{"className":1249,"style":1169},[924,1168],[584,1251,818],{"className":1252},[1173,1174],[584,1254],{"className":1255,"style":1160},[670],[584,1257,1016],{"className":1258},[1259],"mpunct",[584,1261],{"className":1262,"style":1263},[670],"margin-right:2em;",[584,1265],{"className":1266,"style":1160},[670],[584,1268,1022],{"className":1269,"style":1270},[627,628],"margin-right:0.109em;",[584,1272],{"className":1273,"style":671},[670],[584,1275,800],{"className":1276},[675],[584,1278],{"className":1279,"style":671},[670],[584,1281,1283,1287,1290,1293],{"className":1282},[618],[584,1284],{"className":1285,"style":1286},[622],"height:1.2141em;vertical-align:-0.35em;",[584,1288,984],{"className":1289,"style":1136},[627,628],[584,1291],{"className":1292,"style":1160},[670],[584,1294,1296,1302,1331,1334,1337,1340,1369],{"className":1295},[1164],[584,1297,1299],{"className":1298,"style":1169},[894,1168],[584,1300,806],{"className":1301},[1173,1174],[584,1303,1305,1308],{"className":1304},[627],[584,1306,761],{"className":1307},[627,628],[584,1309,1311],{"className":1310},[841],[584,1312,1314],{"className":1313},[845],[584,1315,1317],{"className":1316},[849],[584,1318,1320],{"className":1319,"style":1196},[853],[584,1321,1322,1325],{"style":1199},[584,1323],{"className":1324,"style":861},[860],[584,1326,1328],{"className":1327},[865,866,867,868],[584,1329,797],{"className":1330},[627,868],[584,1332],{"className":1333,"style":904},[670],[584,1335,1005],{"className":1336},[908],[584,1338],{"className":1339,"style":904},[670],[584,1341,1343,1346],{"className":1342},[627],[584,1344,605],{"className":1345},[627,628],[584,1347,1349],{"className":1348},[841],[584,1350,1352],{"className":1351},[845],[584,1353,1355],{"className":1354},[849],[584,1356,1358],{"className":1357,"style":1196},[853],[584,1359,1360,1363],{"style":1199},[584,1361],{"className":1362,"style":861},[860],[584,1364,1366],{"className":1365},[865,866,867,868],[584,1367,797],{"className":1368},[627,868],[584,1370,1372],{"className":1371,"style":1169},[924,1168],[584,1373,818],{"className":1374},[1173,1174],[564,1376,1377,1378,579],{},"Die gesamte Oberfläche des Segments ist ",[584,1379,1381,1405],{"className":1380},[587],[584,1382,1384],{"className":1383},[591],[593,1385,1386],{"xmlns":595},[597,1387,1388,1402],{},[600,1389,1390,1392,1394,1396],{},[603,1391,1022],{},[645,1393,1005],{},[603,1395,984],{},[790,1397,1398,1400],{},[603,1399,761],{},[795,1401,797],{},[607,1403,1404],{"encoding":609},"M + \\pi a^2",[584,1406,1408,1427],{"className":1407,"ariaHidden":614},[613],[584,1409,1411,1415,1418,1421,1424],{"className":1410},[618],[584,1412],{"className":1413,"style":1414},[622],"height:0.7667em;vertical-align:-0.0833em;",[584,1416,1022],{"className":1417,"style":1270},[627,628],[584,1419],{"className":1420,"style":904},[670],[584,1422,1005],{"className":1423},[908],[584,1425],{"className":1426,"style":904},[670],[584,1428,1430,1433,1436],{"className":1429},[618],[584,1431],{"className":1432,"style":831},[622],[584,1434,984],{"className":1435,"style":1136},[627,628],[584,1437,1439,1442],{"className":1438},[627],[584,1440,761],{"className":1441},[627,628],[584,1443,1445],{"className":1444},[841],[584,1446,1448],{"className":1447},[845],[584,1449,1451],{"className":1450},[849],[584,1452,1454],{"className":1453,"style":831},[853],[584,1455,1456,1459],{"style":856},[584,1457],{"className":1458,"style":861},[860],[584,1460,1462],{"className":1461},[865,866,867,868],[584,1463,797],{"className":1464},[627,868],[564,1466,1467,1468,1525,1526,1577],{},"Mit ",[584,1469,1471,1491],{"className":1470},[587],[584,1472,1474],{"className":1473},[591],[593,1475,1476],{"xmlns":595},[597,1477,1478,1488],{},[600,1479,1480,1482,1484,1486],{},[603,1481,605],{},[645,1483,800],{},[795,1485,797],{},[603,1487,650],{},[607,1489,1490],{"encoding":609},"h = 2r",[584,1492,1494,1512],{"className":1493,"ariaHidden":614},[613],[584,1495,1497,1500,1503,1506,1509],{"className":1496},[618],[584,1498],{"className":1499,"style":623},[622],[584,1501,605],{"className":1502},[627,628],[584,1504],{"className":1505,"style":671},[670],[584,1507,800],{"className":1508},[675],[584,1510],{"className":1511,"style":671},[670],[584,1513,1515,1519,1522],{"className":1514},[618],[584,1516],{"className":1517,"style":1518},[622],"height:0.6444em;",[584,1520,797],{"className":1521},[627],[584,1523,650],{"className":1524,"style":689},[627,628]," ergeben sich Volumen und Oberfläche der ganzen Kugel, mit ",[584,1527,1529,1547],{"className":1528},[587],[584,1530,1532],{"className":1531},[591],[593,1533,1534],{"xmlns":595},[597,1535,1536,1544],{},[600,1537,1538,1540,1542],{},[603,1539,605],{},[645,1541,800],{},[603,1543,650],{},[607,1545,1546],{"encoding":609},"h = r",[584,1548,1550,1568],{"className":1549,"ariaHidden":614},[613],[584,1551,1553,1556,1559,1562,1565],{"className":1552},[618],[584,1554],{"className":1555,"style":623},[622],[584,1557,605],{"className":1558},[627,628],[584,1560],{"className":1561,"style":671},[670],[584,1563,800],{"className":1564},[675],[584,1566],{"className":1567,"style":671},[670],[584,1569,1571,1574],{"className":1570},[618],[584,1572],{"className":1573,"style":685},[622],[584,1575,650],{"className":1576,"style":689},[627,628]," die der Halbkugel.",[559,1579,1581],{"id":1580},"beispiele","Beispiele",[564,1583,1584,1585,1654,1655,1719],{},"Von einer Kugel mit ",[584,1586,1588,1614],{"className":1587},[587],[584,1589,1591],{"className":1590},[591],[593,1592,1593],{"xmlns":595},[597,1594,1595,1611],{},[600,1596,1597,1599,1601,1604,1608],{},[603,1598,650],{},[645,1600,800],{},[795,1602,1603],{},"5",[1605,1606,1607],"mtext",{}," ",[1605,1609,1610],{},"cm",[607,1612,1613],{"encoding":609},"r = 5\\,\\text{cm}",[584,1615,1617,1635],{"className":1616,"ariaHidden":614},[613],[584,1618,1620,1623,1626,1629,1632],{"className":1619},[618],[584,1621],{"className":1622,"style":685},[622],[584,1624,650],{"className":1625,"style":689},[627,628],[584,1627],{"className":1628,"style":671},[670],[584,1630,800],{"className":1631},[675],[584,1633],{"className":1634,"style":671},[670],[584,1636,1638,1641,1644,1647],{"className":1637},[618],[584,1639],{"className":1640,"style":1518},[622],[584,1642,1603],{"className":1643},[627],[584,1645],{"className":1646,"style":1160},[670],[584,1648,1651],{"className":1649},[627,1650],"text",[584,1652,1610],{"className":1653},[627]," wird ein Segment der Höhe ",[584,1656,1658,1680],{"className":1657},[587],[584,1659,1661],{"className":1660},[591],[593,1662,1663],{"xmlns":595},[597,1664,1665,1677],{},[600,1666,1667,1669,1671,1673,1675],{},[603,1668,605],{},[645,1670,800],{},[795,1672,797],{},[1605,1674,1607],{},[1605,1676,1610],{},[607,1678,1679],{"encoding":609},"h = 2\\,\\text{cm}",[584,1681,1683,1701],{"className":1682,"ariaHidden":614},[613],[584,1684,1686,1689,1692,1695,1698],{"className":1685},[618],[584,1687],{"className":1688,"style":623},[622],[584,1690,605],{"className":1691},[627,628],[584,1693],{"className":1694,"style":671},[670],[584,1696,800],{"className":1697},[675],[584,1699],{"className":1700,"style":671},[670],[584,1702,1704,1707,1710,1713],{"className":1703},[618],[584,1705],{"className":1706,"style":1518},[622],[584,1708,797],{"className":1709},[627],[584,1711],{"className":1712,"style":1160},[670],[584,1714,1716],{"className":1715},[627,1650],[584,1717,1610],{"className":1718},[627]," abgeschnitten:",[584,1721,1723],{"className":1722},[958],[584,1724,1726,1799],{"className":1725},[587],[584,1727,1729],{"className":1728},[591],[593,1730,1731],{"xmlns":595,"display":967},[597,1732,1733,1796],{},[600,1734,1735,1737,1739,1756,1758,1760,1763,1765,1767,1769,1771,1782,1785,1788,1790],{},[603,1736,974],{},[645,1738,800],{},[978,1740,1741,1754],{},[600,1742,1743,1745,1748],{},[603,1744,984],{},[645,1746,1747],{},"⋅",[790,1749,1750,1752],{},[795,1751,797],{},[795,1753,797],{},[795,1755,996],{},[645,1757,1747],{},[645,1759,806],{"stretchy":805},[795,1761,1762],{},"15",[645,1764,813],{},[795,1766,797],{},[645,1768,818],{"stretchy":805},[645,1770,800],{},[978,1772,1773,1780],{},[600,1774,1775,1778],{},[795,1776,1777],{},"52",[603,1779,984],{},[795,1781,996],{},[645,1783,1784],{},"≈",[795,1786,1787],{},"54,45",[1605,1789,1607],{},[790,1791,1792,1794],{},[1605,1793,1610],{},[795,1795,996],{},[607,1797,1798],{"encoding":609},"V = \\frac{\\pi \\cdot 2^2}{3} \\cdot (15 - 2) = \\frac{52\\pi}{3} \\approx 54{,}45\\,\\text{cm}^3",[584,1800,1802,1820,1937,1958,1979,2061],{"className":1801,"ariaHidden":614},[613],[584,1803,1805,1808,1811,1814,1817],{"className":1804},[618],[584,1806],{"className":1807,"style":1059},[622],[584,1809,974],{"className":1810,"style":904},[627,628],[584,1812],{"className":1813,"style":671},[670],[584,1815,800],{"className":1816},[675],[584,1818],{"className":1819,"style":671},[670],[584,1821,1823,1827,1928,1931,1934],{"className":1822},[618],[584,1824],{"className":1825,"style":1826},[622],"height:2.1771em;vertical-align:-0.686em;",[584,1828,1830,1833,1925],{"className":1829},[627],[584,1831],{"className":1832},[894,1085],[584,1834,1836],{"className":1835},[978],[584,1837,1839,1917],{"className":1838},[845,1092],[584,1840,1842,1914],{"className":1841},[849],[584,1843,1846,1857,1865],{"className":1844,"style":1845},[853],"height:1.4911em;",[584,1847,1848,1851],{"style":1102},[584,1849],{"className":1850,"style":1106},[860],[584,1852,1854],{"className":1853},[627],[584,1855,996],{"className":1856},[627],[584,1858,1859,1862],{"style":1115},[584,1860],{"className":1861,"style":1106},[860],[584,1863],{"className":1864,"style":1123},[1122],[584,1866,1867,1870],{"style":1126},[584,1868],{"className":1869,"style":1106},[860],[584,1871,1873,1876,1879,1882,1885],{"className":1872},[627],[584,1874,984],{"className":1875,"style":1136},[627,628],[584,1877],{"className":1878,"style":904},[670],[584,1880,1747],{"className":1881},[908],[584,1883],{"className":1884,"style":904},[670],[584,1886,1888,1891],{"className":1887},[627],[584,1889,797],{"className":1890},[627],[584,1892,1894],{"className":1893},[841],[584,1895,1897],{"className":1896},[845],[584,1898,1900],{"className":1899},[849],[584,1901,1903],{"className":1902,"style":831},[853],[584,1904,1905,1908],{"style":856},[584,1906],{"className":1907,"style":861},[860],[584,1909,1911],{"className":1910},[865,866,867,868],[584,1912,797],{"className":1913},[627,868],[584,1915,1144],{"className":1916},[1143],[584,1918,1920],{"className":1919},[849],[584,1921,1923],{"className":1922,"style":1151},[853],[584,1924],{},[584,1926],{"className":1927},[924,1085],[584,1929],{"className":1930,"style":904},[670],[584,1932,1747],{"className":1933},[908],[584,1935],{"className":1936,"style":904},[670],[584,1938,1940,1943,1946,1949,1952,1955],{"className":1939},[618],[584,1941],{"className":1942,"style":887},[622],[584,1944,806],{"className":1945},[894],[584,1947,1762],{"className":1948},[627],[584,1950],{"className":1951,"style":904},[670],[584,1953,813],{"className":1954},[908],[584,1956],{"className":1957,"style":904},[670],[584,1959,1961,1964,1967,1970,1973,1976],{"className":1960},[618],[584,1962],{"className":1963,"style":887},[622],[584,1965,797],{"className":1966},[627],[584,1968,818],{"className":1969},[924],[584,1971],{"className":1972,"style":671},[670],[584,1974,800],{"className":1975},[675],[584,1977],{"className":1978,"style":671},[670],[584,1980,1982,1986,2052,2055,2058],{"className":1981},[618],[584,1983],{"className":1984,"style":1985},[622],"height:2.0074em;vertical-align:-0.686em;",[584,1987,1989,1992,2049],{"className":1988},[627],[584,1990],{"className":1991},[894,1085],[584,1993,1995],{"className":1994},[978],[584,1996,1998,2041],{"className":1997},[845,1092],[584,1999,2001,2038],{"className":2000},[849],[584,2002,2005,2016,2024],{"className":2003,"style":2004},[853],"height:1.3214em;",[584,2006,2007,2010],{"style":1102},[584,2008],{"className":2009,"style":1106},[860],[584,2011,2013],{"className":2012},[627],[584,2014,996],{"className":2015},[627],[584,2017,2018,2021],{"style":1115},[584,2019],{"className":2020,"style":1106},[860],[584,2022],{"className":2023,"style":1123},[1122],[584,2025,2026,2029],{"style":1126},[584,2027],{"className":2028,"style":1106},[860],[584,2030,2032,2035],{"className":2031},[627],[584,2033,1777],{"className":2034},[627],[584,2036,984],{"className":2037,"style":1136},[627,628],[584,2039,1144],{"className":2040},[1143],[584,2042,2044],{"className":2043},[849],[584,2045,2047],{"className":2046,"style":1151},[853],[584,2048],{},[584,2050],{"className":2051},[924,1085],[584,2053],{"className":2054,"style":671},[670],[584,2056,1784],{"className":2057},[675],[584,2059],{"className":2060,"style":671},[670],[584,2062,2064,2068,2072,2078,2082,2085],{"className":2063},[618],[584,2065],{"className":2066,"style":2067},[622],"height:1.0585em;vertical-align:-0.1944em;",[584,2069,2071],{"className":2070},[627],"54",[584,2073,2075],{"className":2074},[627],[584,2076,1016],{"className":2077},[1259],[584,2079,2081],{"className":2080},[627],"45",[584,2083],{"className":2084,"style":1160},[670],[584,2086,2088,2094],{"className":2087},[627],[584,2089,2091],{"className":2090},[627,1650],[584,2092,1610],{"className":2093},[627],[584,2095,2097],{"className":2096},[841],[584,2098,2100],{"className":2099},[845],[584,2101,2103],{"className":2102},[849],[584,2104,2106],{"className":2105,"style":1196},[853],[584,2107,2108,2111],{"style":1199},[584,2109],{"className":2110,"style":861},[860],[584,2112,2114],{"className":2113},[865,866,867,868],[584,2115,996],{"className":2116},[627,868],[584,2118,2120],{"className":2119},[958],[584,2121,2123,2171],{"className":2122},[587],[584,2124,2126],{"className":2125},[591],[593,2127,2128],{"xmlns":595,"display":967},[597,2129,2130,2168],{},[600,2131,2132,2134,2136,2138,2140,2142,2144,2146,2148,2150,2153,2155,2157,2160,2162],{},[603,2133,1022],{},[645,2135,800],{},[795,2137,797],{},[603,2139,984],{},[645,2141,1747],{},[795,2143,1603],{},[645,2145,1747],{},[795,2147,797],{},[645,2149,800],{},[795,2151,2152],{},"20",[603,2154,984],{},[645,2156,1784],{},[795,2158,2159],{},"62,83",[1605,2161,1607],{},[790,2163,2164,2166],{},[1605,2165,1610],{},[795,2167,797],{},[607,2169,2170],{"encoding":609},"M = 2\\pi \\cdot 5 \\cdot 2 = 20\\pi \\approx 62{,}83\\,\\text{cm}^2",[584,2172,2174,2192,2213,2231,2249,2270],{"className":2173,"ariaHidden":614},[613],[584,2175,2177,2180,2183,2186,2189],{"className":2176},[618],[584,2178],{"className":2179,"style":1059},[622],[584,2181,1022],{"className":2182,"style":1270},[627,628],[584,2184],{"className":2185,"style":671},[670],[584,2187,800],{"className":2188},[675],[584,2190],{"className":2191,"style":671},[670],[584,2193,2195,2198,2201,2204,2207,2210],{"className":2194},[618],[584,2196],{"className":2197,"style":1518},[622],[584,2199,797],{"className":2200},[627],[584,2202,984],{"className":2203,"style":1136},[627,628],[584,2205],{"className":2206,"style":904},[670],[584,2208,1747],{"className":2209},[908],[584,2211],{"className":2212,"style":904},[670],[584,2214,2216,2219,2222,2225,2228],{"className":2215},[618],[584,2217],{"className":2218,"style":1518},[622],[584,2220,1603],{"className":2221},[627],[584,2223],{"className":2224,"style":904},[670],[584,2226,1747],{"className":2227},[908],[584,2229],{"className":2230,"style":904},[670],[584,2232,2234,2237,2240,2243,2246],{"className":2233},[618],[584,2235],{"className":2236,"style":1518},[622],[584,2238,797],{"className":2239},[627],[584,2241],{"className":2242,"style":671},[670],[584,2244,800],{"className":2245},[675],[584,2247],{"className":2248,"style":671},[670],[584,2250,2252,2255,2258,2261,2264,2267],{"className":2251},[618],[584,2253],{"className":2254,"style":1518},[622],[584,2256,2152],{"className":2257},[627],[584,2259,984],{"className":2260,"style":1136},[627,628],[584,2262],{"className":2263,"style":671},[670],[584,2265,1784],{"className":2266},[675],[584,2268],{"className":2269,"style":671},[670],[584,2271,2273,2276,2280,2286,2290,2293],{"className":2272},[618],[584,2274],{"className":2275,"style":2067},[622],[584,2277,2279],{"className":2278},[627],"62",[584,2281,2283],{"className":2282},[627],[584,2284,1016],{"className":2285},[1259],[584,2287,2289],{"className":2288},[627],"83",[584,2291],{"className":2292,"style":1160},[670],[584,2294,2296,2302],{"className":2295},[627],[584,2297,2299],{"className":2298},[627,1650],[584,2300,1610],{"className":2301},[627],[584,2303,2305],{"className":2304},[841],[584,2306,2308],{"className":2307},[845],[584,2309,2311],{"className":2310},[849],[584,2312,2314],{"className":2313,"style":1196},[853],[584,2315,2316,2319],{"style":1199},[584,2317],{"className":2318,"style":861},[860],[584,2320,2322],{"className":2321},[865,866,867,868],[584,2323,797],{"className":2324},[627,868],[564,2326,2327,2328,579],{},"Der Grundkreis hat den Radius ",[584,2329,2331,2376],{"className":2330},[587],[584,2332,2334],{"className":2333},[591],[593,2335,2336],{"xmlns":595},[597,2337,2338,2373],{},[600,2339,2340,2342,2344,2364,2366,2369,2371],{},[603,2341,761],{},[645,2343,800],{},[2345,2346,2347],"msqrt",{},[600,2348,2349,2351,2353,2355,2358,2360,2362],{},[795,2350,797],{},[645,2352,1747],{},[645,2354,806],{"stretchy":805},[795,2356,2357],{},"10",[645,2359,813],{},[795,2361,797],{},[645,2363,818],{"stretchy":805},[645,2365,800],{},[795,2367,2368],{},"4",[1605,2370,1607],{},[1605,2372,1610],{},[607,2374,2375],{"encoding":609},"a = \\sqrt{2 \\cdot (10 - 2)} = 4\\,\\text{cm}",[584,2377,2379,2397,2508],{"className":2378,"ariaHidden":614},[613],[584,2380,2382,2385,2388,2391,2394],{"className":2381},[618],[584,2383],{"className":2384,"style":685},[622],[584,2386,761],{"className":2387},[627,628],[584,2389],{"className":2390,"style":671},[670],[584,2392,800],{"className":2393},[675],[584,2395],{"className":2396,"style":671},[670],[584,2398,2400,2404,2499,2502,2505],{"className":2399},[618],[584,2401],{"className":2402,"style":2403},[622],"height:1.24em;vertical-align:-0.305em;",[584,2405,2408],{"className":2406},[627,2407],"sqrt",[584,2409,2411,2490],{"className":2410},[845,1092],[584,2412,2414,2487],{"className":2413},[849],[584,2415,2418,2464],{"className":2416,"style":2417},[853],"height:0.935em;",[584,2419,2423,2427],{"className":2420,"style":2422},[2421],"svg-align","top:-3.2em;",[584,2424],{"className":2425,"style":2426},[860],"height:3.2em;",[584,2428,2431,2434,2437,2440,2443,2446,2449,2452,2455,2458,2461],{"className":2429,"style":2430},[627],"padding-left:1em;",[584,2432,797],{"className":2433},[627],[584,2435],{"className":2436,"style":904},[670],[584,2438,1747],{"className":2439},[908],[584,2441],{"className":2442,"style":904},[670],[584,2444,806],{"className":2445},[894],[584,2447,2357],{"className":2448},[627],[584,2450],{"className":2451,"style":904},[670],[584,2453,813],{"className":2454},[908],[584,2456],{"className":2457,"style":904},[670],[584,2459,797],{"className":2460},[627],[584,2462,818],{"className":2463},[924],[584,2465,2467,2470],{"style":2466},"top:-2.895em;",[584,2468],{"className":2469,"style":2426},[860],[584,2471,2475],{"className":2472,"style":2474},[2473],"hide-tail","min-width:1.02em;height:1.28em;",[2476,2477,2483],"svg",{"xmlns":2478,"width":2479,"height":2480,"viewBox":2481,"preserveAspectRatio":2482},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.28em","0 0 400000 1296","xMinYMin slice",[2484,2485],"path",{"d":2486},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[584,2488,1144],{"className":2489},[1143],[584,2491,2493],{"className":2492},[849],[584,2494,2497],{"className":2495,"style":2496},[853],"height:0.305em;",[584,2498],{},[584,2500],{"className":2501,"style":671},[670],[584,2503,800],{"className":2504},[675],[584,2506],{"className":2507,"style":671},[670],[584,2509,2511,2514,2517,2520],{"className":2510},[618],[584,2512],{"className":2513,"style":1518},[622],[584,2515,2368],{"className":2516},[627],[584,2518],{"className":2519,"style":1160},[670],[584,2521,2523],{"className":2522},[627,1650],[584,2524,1610],{"className":2525},[627],[559,2527,2529],{"id":2528},"typische-fehler","Typische Fehler",[2531,2532,2533,2628,2698],"ul",{},[2534,2535,2536,2564,2565,579],"li",{},[584,2537,2539,2552],{"className":2538},[587],[584,2540,2542],{"className":2541},[591],[593,2543,2544],{"xmlns":595},[597,2545,2546,2550],{},[600,2547,2548],{},[603,2549,605],{},[607,2551,605],{"encoding":609},[584,2553,2555],{"className":2554,"ariaHidden":614},[613],[584,2556,2558,2561],{"className":2557},[618],[584,2559],{"className":2560,"style":623},[622],[584,2562,605],{"className":2563},[627,628]," mit dem Abstand der Schnittebene vom Kugelmittelpunkt verwechseln. Dieser Abstand ist ",[584,2566,2568,2592],{"className":2567},[587],[584,2569,2571],{"className":2570},[591],[593,2572,2573],{"xmlns":595},[597,2574,2575,2589],{},[600,2576,2577,2581,2583,2585,2587],{},[603,2578,2580],{"mathvariant":2579},"normal","∣",[603,2582,650],{},[645,2584,813],{},[603,2586,605],{},[603,2588,2580],{"mathvariant":2579},[607,2590,2591],{"encoding":609},"|r - h|",[584,2593,2595,2616],{"className":2594,"ariaHidden":614},[613],[584,2596,2598,2601,2604,2607,2610,2613],{"className":2597},[618],[584,2599],{"className":2600,"style":887},[622],[584,2602,2580],{"className":2603},[627],[584,2605,650],{"className":2606,"style":689},[627,628],[584,2608],{"className":2609,"style":904},[670],[584,2611,813],{"className":2612},[908],[584,2614],{"className":2615,"style":904},[670],[584,2617,2619,2622,2625],{"className":2618},[618],[584,2620],{"className":2621,"style":887},[622],[584,2623,605],{"className":2624},[627,628],[584,2626,2580],{"className":2627},[627],[2534,2629,2630,2631,2697],{},"Bei der Kappe den Grundkreis mitzählen. ",[584,2632,2634,2658],{"className":2633},[587],[584,2635,2637],{"className":2636},[591],[593,2638,2639],{"xmlns":595},[597,2640,2641,2655],{},[600,2642,2643,2645,2647,2649,2651,2653],{},[603,2644,1022],{},[645,2646,800],{},[795,2648,797],{},[603,2650,984],{},[603,2652,650],{},[603,2654,605],{},[607,2656,2657],{"encoding":609},"M = 2\\pi r h",[584,2659,2661,2679],{"className":2660,"ariaHidden":614},[613],[584,2662,2664,2667,2670,2673,2676],{"className":2663},[618],[584,2665],{"className":2666,"style":1059},[622],[584,2668,1022],{"className":2669,"style":1270},[627,628],[584,2671],{"className":2672,"style":671},[670],[584,2674,800],{"className":2675},[675],[584,2677],{"className":2678,"style":671},[670],[584,2680,2682,2685,2688,2691,2694],{"className":2681},[618],[584,2683],{"className":2684,"style":623},[622],[584,2686,797],{"className":2687},[627],[584,2689,984],{"className":2690,"style":1136},[627,628],[584,2692,650],{"className":2693,"style":689},[627,628],[584,2695,605],{"className":2696},[627,628]," ist nur die gewölbte Fläche.",[2534,2699,2700,2701,2729,2730,2758],{},"Grundkreisradius ",[584,2702,2704,2717],{"className":2703},[587],[584,2705,2707],{"className":2706},[591],[593,2708,2709],{"xmlns":595},[597,2710,2711,2715],{},[600,2712,2713],{},[603,2714,761],{},[607,2716,761],{"encoding":609},[584,2718,2720],{"className":2719,"ariaHidden":614},[613],[584,2721,2723,2726],{"className":2722},[618],[584,2724],{"className":2725,"style":685},[622],[584,2727,761],{"className":2728},[627,628]," und Kugelradius ",[584,2731,2733,2746],{"className":2732},[587],[584,2734,2736],{"className":2735},[591],[593,2737,2738],{"xmlns":595},[597,2739,2740,2744],{},[600,2741,2742],{},[603,2743,650],{},[607,2745,650],{"encoding":609},[584,2747,2749],{"className":2748,"ariaHidden":614},[613],[584,2750,2752,2755],{"className":2751},[618],[584,2753],{"className":2754,"style":685},[622],[584,2756,650],{"className":2757,"style":689},[627,628]," in den Formeln vertauschen.",{"title":2760,"searchDepth":2761,"depth":2761,"links":2762},"",2,[2763,2764,2765],{"id":561,"depth":2761,"text":562},{"id":1580,"depth":2761,"text":1581},{"id":2528,"depth":2761,"text":2529},[2767,2770,2773,2776,2779,2782,2785,2788,2791],{"lhs":2768,"rhs":2769},"pi*h^2\u002F3*(3*r - h)","pi*h\u002F6*(3*h*(2*r - h) + h^2)",{"lhs":2771,"rhs":2772},"2*pi*r*h","pi*(h*(2*r - h) + h^2)",{"lhs":2774,"rhs":2775},"pi*(2*r)^2\u002F3*(3*r - 2*r)","4\u002F3*pi*r^3",{"lhs":2777,"rhs":2778},"2*pi*r*(2*r)","4*pi*r^2",{"lhs":2780,"rhs":2781},"pi*2^2\u002F3*(3*5 - 2)","52*pi\u002F3",{"lhs":2783,"rhs":2784},"round(52*pi\u002F3, 2)","54.45",{"lhs":2786,"rhs":2787},"2*pi*5*2","20*pi",{"lhs":2789,"rhs":2790},"round(20*pi, 2)","62.83",{"lhs":2792,"rhs":2368},"sqrt(2*(2*5 - 2))","0 \u003C h \\le 2r","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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class=\"fig-label\">h\u003C\u002Ftext>\u003Ctext x=\"69.6\" y=\"129.12\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">r\u003C\u002Ftext>\u003C\u002Fsvg>","spherical-cap","V = \\frac{\\pi h^2}{3} (3r - h), \\qquad M = 2 \\pi r h","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>V\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi>π\u003C\u002Fmi>\u003Cmsup>\u003Cmi>h\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmn>3\u003C\u002Fmn>\u003Cmi>r\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>h\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmi>M\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003Cmi>π\u003C\u002Fmi>\u003Cmi>r\u003C\u002Fmi>\u003Cmi>h\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">V = \\frac{\\pi h^2}{3} (3r - h), \\qquad M = 2 \\pi r h\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.1771em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan 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