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.