Question

A pyramid has the same base as a prism. What is the ratio of the volume of the pyramid to the volume of the prism if the height of the pyramid is 6H and the height of the prism is H?

Answer 1

volume of a pyramid is V = (pi/3) (base area) (height)
volume of a prism is V = (base area) (height)

V_pyramid / V_prism = (pi/3) (base area) (6H) / [ (base area) H]
= 2pi