底面边长和侧棱长之比为1比根2的正四棱柱内接于球 则正四棱柱与球的体积比为

2025-05-17 05:05:53
推荐回答(1个)
回答1:

解:根据题意,内接球的直接与底面变长为1:1, 即r=L/2
V球:V四棱= 4π/3 (r)^3 :L^2*√2 L
= 4π/3 (L/2)^3 :√2 L^3
=π/6:√2