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)

Answer 1

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}.