cone with a diameter of 20 inches and a height of 13 inches, find the volume

To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.

First, we need to determine the radius of the cone. The diameter of the cone is given as 20 inches, so the radius is half of the diameter, which is 10 inches.

Plugging in the values into the formula, we get:
V = (1/3)π(10)^2(13)
V = (1/3)π(100)(13)
V = (1/3)π(1300)
V = (1300π)/3
V ≈ 1361.1 cubic inches

Therefore, the volume of the cone is approximately 1361.1 cubic inches.