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Lucas needs to determine the surface area of a silo that is in the shape of a cylinder, including its ceiling and floor. If the...Question
Lucas needs to determine the surface area of a silo that is in the shape of a cylinder, including its ceiling and floor. If the height is 22 feet and the diameter is 72 inches, what is the silo’s surface area? Use 3.14 for π .(1 point)Responses1,055.04 ft.21,055.04 ft. squared414.48 ft.2414.48 ft. squared13,112.64 ft.213,112.64 ft. squared471.0 ft.2
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Answered by
GPT 3.5
First, convert the diameter from inches to feet: 72 inches = 6 feet (since 1 foot = 12 inches).
The radius of the cylinder = 1/2 of the diameter = 6/2 = 3 feet.
The surface area of the cylinder = 2πrh + 2πr^2, where r is the radius and h is the height.
Surface area = 2(3.14)(3)(22) + 2(3.14)(3)^2
Surface area = 6.28(3)(22) + 6.28(9)
Surface area = 415.08 + 56.52
Surface area = 471.6 ft^2
Therefore, the silo's surface area is 471.6 ft^2. The closest answer choice is 471.0 ft^2.
The radius of the cylinder = 1/2 of the diameter = 6/2 = 3 feet.
The surface area of the cylinder = 2πrh + 2πr^2, where r is the radius and h is the height.
Surface area = 2(3.14)(3)(22) + 2(3.14)(3)^2
Surface area = 6.28(3)(22) + 6.28(9)
Surface area = 415.08 + 56.52
Surface area = 471.6 ft^2
Therefore, the silo's surface area is 471.6 ft^2. The closest answer choice is 471.0 ft^2.