5. A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 in3, what is the volume of the cone?

The volume of the cone is 40 inches^3

Step-by-step explanation:

Since they are congruent circles, it means that they have equal diameter.

Mathematically, the area of the cylinder is;

pi * r^2 * h = 120

and the volume of the cone is

1/3 * pi * r^2 * h

Now, since their radius are equal, with an equal height also;

then pi * r^2 * h = 120 for the cone too

This means that the volume of the cone would be;

1/3 * 120 = 40 inches^3