Question

Suppose a sphere, cylinder, and cone all share the same radius. The cylinder and cone also share the same height, which is twice the radius. Which of the following is true about the relationship between the volume formulas for the sphere, cylinder, and cone

sphere = cylinder + cone sphere = cylinder + cone cone = cylinder – sphere cone = cylinder – sphere cone = sphere – cylinder cone = sphere – cylinder cylinder = sphere – cone

Answer 1

The correct relationship between the volume formulas for the sphere, cylinder, and cone is:

cone = cylinder - sphere

This means that the volume of the cone can be obtained by subtracting the volume of the sphere from the volume of the cylinder.