The derivation process of the volume formula of the ball The more ways, the better,

The derivation process of the volume formula of the ball The more ways, the better,

In this paper, we dig out a circular cone with equal base and height from the center of a cylinder with the bottom radius R and height R. the remaining parts and a hemisphere are equal in area everywhere when they are cut by plane. We can draw the conclusion that their volumes are equal. The volume of the excavated body is easy to find. It is the volume of the hemisphere. V = 2 / 3 π R ^ 3. Therefore, the volume of a whole sphere is 4 / 3 π R ^ 3