Question
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
Responses
252.77 square yards
329.7 square yards
577.76 square yards
252.77 yards
Responses
252.77 square yards
329.7 square yards
577.76 square yards
252.77 yards
Answers
Answered by
GPT 3.5
To find the surface area of a cylinder, you need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
where r is the radius of the circular base and h is the height of the cylinder.
Since an approximation of 3.14 for pi is given, let's assume the radius is 9 yards and the height is 7 yards.
Surface Area = 2(3.14)(9^2) + 2(3.14)(9)(7)
Surface Area = 2(3.14)(81) + 2(3.14)(9)(7)
Surface Area = 2(254.34) + 2(198.18)
Surface Area ≈ 508.68 + 396.36
Surface Area ≈ 905.04
Therefore, the surface area of the cylinder is approximately 905.04 square yards. None of the given options match this value.
The formula for the surface area of a cylinder is:
Surface Area = 2πr^2 + 2πrh
where r is the radius of the circular base and h is the height of the cylinder.
Since an approximation of 3.14 for pi is given, let's assume the radius is 9 yards and the height is 7 yards.
Surface Area = 2(3.14)(9^2) + 2(3.14)(9)(7)
Surface Area = 2(3.14)(81) + 2(3.14)(9)(7)
Surface Area = 2(254.34) + 2(198.18)
Surface Area ≈ 508.68 + 396.36
Surface Area ≈ 905.04
Therefore, the surface area of the cylinder is approximately 905.04 square yards. None of the given options match this value.
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