Question

64个直径都为的球，记它们的体积之和为V_甲，表面积之和为S_甲；一个直径为a的球，记其体积为V_乙，表面积为S_乙，则(    )

A.V_甲＞V_乙且S_甲＞S_乙                                             B.V_甲＜V_乙且S_甲＜S_乙

C.V_甲=V_乙且S_甲＞S_乙                                             D.V_甲=V_乙且S_甲=S_乙

Answer 1

C

解析：V_甲=64×π×()³=a³,

S_甲=64×4π·()²=4πa²，

V_乙=π()³=a³,

S_乙=4π()²=πa².