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 surface area of a cone can be found using the formula: A = πr(r + l), where A is the surface area, r is the radius, and l is the slant height.

Given that the diameter of the cone is 14 inches, the radius is half of that, which is 7 inches. The slant height is given as 20 inches.

Using the formula, we can calculate the surface area:

A = 3.14 * 7(7 + 20)
A = 3.14 * 7(27)
A = 3.14 * 189
A = 594.66

Rounding to the nearest hundredth, the surface area of the cone peak is approximately 594.66 square inches.