Volume of a Sphere. Game. Sphere is a perfectly round three-dimensional object. To find the volume of a sphere, divide the sphere into equal sized pyramids with same base and height. Fix me, please. This is a pyramid. Area of Base. Height. Volume of a pyramid is equal to 1 upon 3 into Area of base into Height. Vertex of a pyramid. Center of sphere. Vertex of each pyramid coincides with the center of sphere. Height of each pyramid is equal to the radius of the sphere. Volume of the first pyramid is equal to 1 upon 3 into A1 into r. Volume of the second pyramid is equal to 1 upon 3 into A2 into r. Volume of the last pyramid is equal to 1 upon 3 into An into r. Volume of sphere is equal to Total volume of all pyramids. Base area of 1 Pyramid. Base area of all Pyramids. Base area of all Pyramids is equal to Surface area of sphere is equal to 4 into Pi into r square. Volume of sphere is equal to 4 upon 3 into Pi into r cube. The End.