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.(1 point)

___square inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Surface Area = π * r * (r + l)

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

Given that the diameter of the cone's base is 14 inches, the radius would be half of that: 14 / 2 = 7 inches.

Using the formula, we can calculate the surface area:

Surface Area = 3.14 * 7 * (7 + 20) ≈ 3.14 * 7 * 27 ≈ 592.86 square inches

Therefore, the surface area of the cone peak is approximately 592.86 square inches.