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 of 20 inches. What is the surface area of the cone peak? Round your answer to the nearest hundredth Use 3.14 for pl. (1 point)

square inches

1 answer

The surface area of a cone can be found using the formula:

Surface Area = πr(r + slant height)

First, we need to find the radius of the cone. The diameter is given as 14 inches, so the radius would be half of that, which is 7 inches.

Next, we can substitute the values into the formula:

Surface Area = 3.14 * 7 * (7 + 20)

Surface Area = 3.14 * 7 * 27

Surface Area = 592.86 square inches

Rounded to the nearest hundredth, the surface area of the cone peak is approximately 592.86 square inches.