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
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.