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) square inches
The surface area of a cone can be found using the formula SA = πr(r+ h), where r is the radius and h is the slant height.
We are given that the diameter is 14 inches, so the radius is half that, or 7 inches.
Plugging in the values, we get SA = 3.14 * 7(7+20) = 3.14 * 7 * 27
Evaluating this expression gives us: SA ≈ 3.14 * 7 * 27 ≈ 599.58
The surface area of the cone peak is approximately 599.58 square inches.