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?
The formula for the surface area of a cone is given by:
Surface Area = πr(r + s)
Where r is the radius of the base of the cone and s is the slant height.
Given that the diameter of the cone is 14 inches, the radius (r) is half of that, so r = 14 / 2 = 7 inches.
Plugging in the values, we get:
Surface Area = π * 7 * (7 + 20)
Surface Area = π * 7 * 27
Surface Area ≈ 1831.79 square inches.
Therefore, the surface area of the cone peak is approximately 1831.79 square inches.