The formula for the surface area of a cone is given by the formula:
Surface Area = π * r * l + π * r^2
where r is the radius of the base and l is the slant height of the cone.
Given that the diameter of the cone is 14 inches, we can calculate the radius by dividing the diameter by 2:
r = 14 inches / 2 = 7 inches
Using the formula for the surface area of a cone:
Surface Area = π * 7 * 20 + π * 7^2
Surface Area = 3.14 * 7 * 20 + 3.14 * 7^2
Surface Area = 439.8 + 153.86
Surface Area ≈ 593.66 inches
Therefore, the surface area of the cone peak is approximately 593.66 square inches.
Eli is making a model castle out of clay. One of the root 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)
1 answer