Question
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.
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
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Koala Tutor
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The formula for the surface area of a cone is πr(r + l), where r is the radius and l is the slant height.
First, we need to find the radius. The radius is half of the diameter, so the radius is 14/2 = 7 inches.
Then, we can substitute the values into the formula:
Surface area = π * 7 * (7 + 20) = 3.14 * 7 * 27 = 594.18 square inches.
So, the surface area of the cone peak is approximately 594.18 square inches.
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