Question

64個直徑都為的球，記它們的體積之和為V_甲，表面積之和為S_甲；一個直徑為a的球，記其體積為V_乙，表面積為S_乙，則(    )

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.