Eli's making a model castle out of clay one of the roof peaks is in the shape of a cone with the diameter of 14 inches in a slate height of 20 in

1 answer

To find the volume of the roof peak, we first need to find the radius of the cone. The radius is half the diameter, so the radius is 14/2 = <<14/2=7>>7 inches.

The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.

Plugging in the values we have, the volume of the roof peak is V = (1/3)π(7^2)(20).

Calculating, V = (1/3)π(49)(20) = (1/3)π(980) = <<(1/3)*3.14*980=1030.53>>1030.53 cubic inches.

Therefore, the volume of the roof peak is 1030.53 cubic inches.