### Home > MC2 > Chapter 10 > Lesson 10.2.6 > Problem 10-146

10-146.

Find the volume of the cone shown in problem 10-142.

From problem 10-142, you learned that the volume of a cone is one-third the volume of a cylinder with the same base area and height.

The equation for the volume of a cylinder is:

So the volume of a cone is:

The base is a circle with a radius of 6 inches. So using the equation for area of a circle:

The height of the cylinder is

Now simplify to get the answer.