Question

Eli is making a model castle out of clay one of the roof peaks is in the shaoe 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 hundreth use 3.14 for pi

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the cone peak, we need to find the curved surface area (lateral area) of the cone.

The curved surface area of a cone can be calculated using the formula: A = πrl, where A is the curved surface area, r is the radius of the cone, and l is the slant height of the cone.

We are given the diameter of the cone, which is 14 inches. The radius (r) can be calculated by dividing the diameter by 2: r = 14 inches/2 = 7 inches.

Let's substitute the known values into the formula to calculate the curved surface area:

A = 3.14 * 7 inches * 20 inches
A = 439.6 square inches

Rounded to the nearest hundredth, the surface area of the cone peak is approximately 439.60 square inches.