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.

Question

(1 point)

Answer 1

To find the surface area of a cone, you can use the formula:

Surface Area = πr^2 + πr * slant height

First, we need to find the radius of the cone peak. The radius is half the diameter, so:

Radius = 14 inches / 2 = 7 inches

Now we can calculate the surface area:

Surface Area = 3.14 * 7^2 + 3.14 * 7 * 20
Surface Area = 3.14 * 49 + 3.14 * 140
Surface Area = 153.86 + 439.6
Surface Area = 593.46 square inches

Therefore, the surface area of the cone peak is approximately 593.46 square inches.