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.

___ square inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the cone peak, we need to find the lateral surface area. The lateral surface area of a cone can be found using the formula:

Lateral Surface Area = π * 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 base of the cone is 14 inches, we can find the radius by dividing the diameter by 2:

r = 14 / 2 = 7 inches

Plugging in the values, we get:

Lateral Surface Area = 3.14 * 7 * 20 = 439.6 square inches

Rounded to the nearest hundredth, the surface area of the cone peak is approximately 439.6 square inches.