maths球體..

1) 球體的表面面積 = 4*π*(半徑^2) = 4*π*[(6/2)^2] = 4*π*9 = 36πcm^2
球體的體積 = (4/3)*π*(半徑^3) = (4/3)*π*[(6/2)^3] = (4/3)*π*27 = 36πcm^3

2) 實心半球體的曲面面積 = 4*π*(半徑^2) / 2
.'. 2*π*(半徑^2) = 245π
半徑^2 = 122.5
半徑 = 11.06797...cm
實心半球體的體積 = (4/3)*π*(半徑^3) / 2
= (2/3)*π*(11.06797^3)
= 903.884365πcm^3

3) 面積 = 4*π*(半徑^2) = 324πcm^2
半徑^2 = 81cm^2
半徑 = 9cm
體積 = (4/3)*π*(半徑^3)
= (4/3)*π*(9^3)
= 972πcm^3

4) 圓筒底面積 = π*(半徑^2) = π*(6^2) = 36πcm^2
鐵球體積 = (4/3)*π*(半徑^3) = (4/3)*π*(1^3) = (4/3)πcm^3
水位上升 = (4/3)π*8 / 36π = (8/27)cm

1. 體積=12π cm^3 表面面積=36π cm^2

2. 實心半球體的體積=1573.7π cm^3

3. 體積=972π cm^3

4. 上升=0.888 cm

以上只是參考而已~可能有錯!