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.(1 point) is it 593.46

1 answer

To find the surface area of the cone peak, we need to find the lateral area of the cone. The lateral area of a cone can be found using the formula A = πrℓ, where A is the lateral area, r is the radius of the base, and ℓ is the slant height.

Since the diameter of the cone is 14 inches, the radius is half of that, which is 7 inches.

So, the lateral area of the cone is A = 3.14 * 7 * 20 = 439.2 square inches.

Therefore, the surface area of the cone peak is approximately 439.2 square inches.