Eli is making a model castle out of clay. One of the roof peaks is in the shape of a cone with a diameter of 14 inches and a slant height of 20 inches. What is the surface area of the cone peak? Round your answer to the nearest hundredth. Use 3.14 for pi

Answer 1

To find the surface area of the cone peak, we need to find the lateral surface area.

The formula for the lateral surface area of a cone is π * r * l, where r is the radius of the base and l is the slant height.

The radius of the base is half of the diameter, so it is 14 inches/2 = 7 inches.

Using the formula, the lateral surface area of the cone peak is 3.14 * 7 inches * 20 inches = 439.2 square inches.

Rounded to the nearest hundredth, the surface area of the cone peak is 439.2 square inches.