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)
The formula for the surface area of a cone is given by:
Surface Area = πr(r + l), where r is the radius and l is the slant height.
In this case, the diameter of the cone is 14 inches, so the radius is half of that, which is 7 inches.
Using the formula, we can calculate the surface area:
Surface Area = 3.14(7)(7 + 20)
Surface Area = 3.14(7)(27)
Surface Area = 3.14(189)
Surface Area = 594.66
Rounding to the nearest hundredth, the surface area of the cone peak is approximately 594.66 inches squared. Answer: \boxed{594.66}.