Find the volume of the cone shown in problem 10-37. Homework Help ✎
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:
Volume = (area of base) (height)
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:
Area of base = (6²)π= 36π
The height of the cylinder is 8 inches. Substitute the known values into the volume equation for a cone:
Now simplify to get the answer.