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.
The surface area of a cone can be found using the formula:
Surface Area = π * r * s
where r is the radius of the cone and s is the slant height.
Given that the diameter is 14 inches, the radius is half of that, or 14/2 = 7 inches.
Substituting these values into the formula, we get:
Surface Area = 3.14 * 7 * 20
Calculating this, we find that the surface area of the cone peak is approximately 439.2 square inches.