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 calculated using the formula SA = πr(r + l), where r is the radius of the base and l is the slant height of the cone.
Given that the diameter of the cone's base is 14 inches, the radius (r) is half of that, which is 14/2 = 7 inches.
Using the formula, SA = 3.14 * 7(7 + 20), we can simplify this to SA = 3.14 * 7 * 27 = 591.06
Rounding to the nearest hundredth, the surface area of the cone peak is 591.06 square inches. Answer: \boxed{591.06}.