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 volum
e of the prism? volume of cone/volume of prism = 1/2
volume of cone/volume of prism = 1/3
volume of cone/volume of prism = 2/3
volume of cone/volume of prism = 1
volume of cone/volume of prism = 3/2
<span>The answer is volume of cone/volume of prism = 1/3. The volume of cone with height, h, and radius, r, is: V = 1/3πr^2h. If h = r, then V= 1/3πr^2 * r = V = 1/3πr^3. The volume of prism with height, h, and radius, r, is: V = πr^2h. If h = r, then V= πr^2 * r = V = πr^3. So, the volume of cone/volume of prism = 1/3πr^3 / πr^3 = 1/3.</span>