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 of 20 inches. What is the surface area of the cone peak? Round your answer to the nearest hundredth Use 3.14 for pl. (1 point)
square inches
The surface area of a cone can be found using the formula:
Surface Area = πr(r + slant height)
First, we need to find the radius of the cone. The diameter is given as 14 inches, so the radius would be half of that, which is 7 inches.
Next, we can substitute the values into the formula:
Surface Area = 3.14 * 7 * (7 + 20)
Surface Area = 3.14 * 7 * 27
Surface Area = 592.86 square inches
Rounded to the nearest hundredth, the surface area of the cone peak is approximately 592.86 square inches.