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：

推荐阅读：
How to Design Underground System using Several Hash Maps?　 How to Remove Zero Sum Consecutive Nodes from Linked List using 　 Depth First Search and Breadth First Search Algorithm to Open th　 Dynamic Programming (Memoization) to Sort Integers by The Power 　 Applicable Accounting Software For Churches　 How to Balance a Binary Search Tree using Recursive Inorder Trav　 Finding the Lucky Numbers in a Matrix　 Factory Design Pattern in Object Oriented Design Programming　 Algorithm to Find Minimum Removals to Make Valid Parentheses　 Greedy Algorithm to Validate Stack Sequences