Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a cone is given by the formula:

Surface Area = πr(r + l)

where r is the radius of the base of the cone, and l is the slant height.

In this case, the diameter of the base is 14 inches, which means the radius is half of that, or 7 inches.

Using the given slant height of 20 inches, we can calculate the surface area:

Surface Area = 3.14 * 7(7 + 20)
= 3.14 * 7(27)
= 3.14 * 189
≈ 593.46

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