A condenser water pump is connected to a suction pipe 75 feet long and 12 inches in diameter. If this pipe is completely drained, approximately how many gallons of water will be obtained?

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Multiple Choice

A condenser water pump is connected to a suction pipe 75 feet long and 12 inches in diameter. If this pipe is completely drained, approximately how many gallons of water will be obtained?

Treat the suction pipe as a cylinder and find its volume, then convert to gallons. The radius is half the diameter: 12 inches gives 6 inches, which is 0.5 feet. With a length of 75 feet, the volume is V = π r^2 h = π × (0.5)^2 × 75 = 18.75π ≈ 58.9 cubic feet. Since 1 cubic foot equals about 7.48 gallons, the volume in gallons is 58.9 × 7.48 ≈ 440 gallons. Approximately 440 gallons would be obtained.

Treat the suction pipe as a cylinder and find its volume, then convert to gallons. The radius is half the diameter: 12 inches gives 6 inches, which is 0.5 feet. With a length of 75 feet, the volume is V = π r^2 h = π × (0.5)^2 × 75 = 18.75π ≈ 58.9 cubic feet. Since 1 cubic foot equals about 7.48 gallons, the volume in gallons is 58.9 × 7.48 ≈ 440 gallons. Approximately 440 gallons would be obtained.

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