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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 sl...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. What is the surface area of the cone peak? Round your answer to the nearest hundredth. Use 3.14 for pi.(1 point)
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The surface area of a cone can be calculated using the formula SA = πr(r + l), where r is the radius of the base and l is the slant height of the cone.
Given that the diameter of the cone's base is 14 inches, the radius (r) is half of that, which is 14/2 = 7 inches.
Using the formula, SA = 3.14 * 7(7 + 20), we can simplify this to SA = 3.14 * 7 * 27 = 591.06
Rounding to the nearest hundredth, the surface area of the cone peak is 591.06 square inches. Answer: \boxed{591.06}.
Given that the diameter of the cone's base is 14 inches, the radius (r) is half of that, which is 14/2 = 7 inches.
Using the formula, SA = 3.14 * 7(7 + 20), we can simplify this to SA = 3.14 * 7 * 27 = 591.06
Rounding to the nearest hundredth, the surface area of the cone peak is 591.06 square inches. Answer: \boxed{591.06}.
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