Home > CC3 > Chapter 10 > Lesson 10.1.3 > Problem 10-41
10-41.
Find the volume of the cone shown in problem 10-37.
From problem 10-38, 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.