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 calculated using the formula:

Surface area = πr(r + l)

Where r is the radius and l is the slant height.

Given that the diameter is 14 inches, the radius would be half of that, which is 7 inches.

Substituting the values into the formula:

Surface area = 3.14 * 7(7 + 20) = 3.14 * 7 * 27 = 592.86

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