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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
Bot GPT 3.5
answered
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.