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

Answer 1

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.