There is 7.48 gallons per cubic foot. How many gallons of water are in a pipe 8 feet in diameter and 10 feet long?

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Multiple Choice

There is 7.48 gallons per cubic foot. How many gallons of water are in a pipe 8 feet in diameter and 10 feet long?

Explanation:
Volume of a cylinder is base area times height. With diameter 8 ft, the radius is 4 ft and the height is 10 ft. The base area is πr^2 = π(4)^2 = 16π, so the volume is 16π × 10 = 160π cubic feet. Using π ≈ 3.14, this is 502.4 cubic feet. Converting to gallons with 7.48 gallons per cubic foot gives 502.4 × 7.48 ≈ 3757.952, about 3758 gallons. If you use a more precise π you’d get around 3759.85, which would round to 3760, but with the common 3.14 value the result is 3758, matching the option.

Volume of a cylinder is base area times height. With diameter 8 ft, the radius is 4 ft and the height is 10 ft. The base area is πr^2 = π(4)^2 = 16π, so the volume is 16π × 10 = 160π cubic feet. Using π ≈ 3.14, this is 502.4 cubic feet. Converting to gallons with 7.48 gallons per cubic foot gives 502.4 × 7.48 ≈ 3757.952, about 3758 gallons. If you use a more precise π you’d get around 3759.85, which would round to 3760, but with the common 3.14 value the result is 3758, matching the option.

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