球的体积公式推导证明：

如图,设球体的球心为O,

半径为R,

球体积为V,

用垂直于半径 OA的平面将半球分成n个圆柱体,

则每个圆柱体的高是R/n，

半径分别为r1,r2,r3,…………rn。

由相交弦定理得：

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