Eli is making a castle of clay. One of the roof peaks is in 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 answers to the nearest hundredth used 3.14 for pi.

1 answer

The formula for the surface area of a cone is given by: A = πr(r + s), where A is the surface area, r is the radius of the base, and s is the slant height.

In this case, the diameter of the base of the cone is 14 inches, so the radius (r) is half of that, which is 7 inches. The slant height (s) is given as 20 inches.

Plugging these values into the formula, we get:

A = 3.14 * 7 * (7 + 20)
A = 3.14 * 7 * 27
A = 595.14

Therefore, the surface area of the cone peak is approximately 595.14 square inches. Rounding to the nearest hundredth, the surface area is 595.14 square inches.