Question

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?

Answer 1

The volume of the cone is 40 inches^3

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