Question

The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the cone to the volume of the prism?

Answer 1

B. 1/3

I had this question on Plato this is the answer.

Answer 2

The volume of any "pointy" solid will be 1/3 that of the corresponding prism or cylinder (with same height and base area). The only caveat is that the slope of the sides of the pointy solid is constant.

For your figures: 1/3.