球的体积公式的推导(详细的)
题目
球的体积公式的推导(详细的)
谁能告诉我简单易懂的球体积公式的推导?
答案
将球的表面分成无数个小面,然后以球心为顶点,连接这些小面,组成无数个近似于圆锥体.
这些圆锥体的底面积的和就是球的表面积,高近似于球的半径.
所以体积和就是:(4πr²)*r/3=4πrrr/3
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