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
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.