单选题What is the volume of a sphere whose surface area is 100π square units?A(100/3)π cubic units or units3B(500/3)π units3C160π units3D(375/4)π units3E520 units3
单选题
What is the volume of a sphere whose surface area is 100π square units?
A
(100/3)π cubic units or units3
B
(500/3)π units3
C
160π units3
D
(375/4)π units3
E
520 units3
参考解析
解析：
The formula for the surface area of a sphere is SA = 4πr2. 100π= 4πr2, 25 = r2, 5=r. The volume is, therefore, (4/3) πr3 = 4/3π(5)3=(4/3)π(125) =(500/3)π
The formula for the surface area of a sphere is SA = 4πr2. 100π= 4πr2, 25 = r2, 5=r. The volume is, therefore, (4/3) πr3 = 4/3π(5)3=(4/3)π(125) =(500/3)π
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