Question

Suppose a sphere, cylinder, and cone all share the same radium and 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? (Think of the Perfume Bottles Portfolio!)

sphere-cone = cylinder
3 cones = 1 cylinder
1 cylinder = 2 cones + 1 sphere
sphere = cylinder + cone

Answer 1

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

1 cylinder = 2 cones + 1 sphere