A pipe with 6 feet in diameter and 8 feet long contains approximately how many gallons?

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Prepare for the New York City Refrigeration License Exam I. Utilize flashcards, multiple-choice questions, and detailed explanations to boost your readiness. Ace your licensing exam!

Multiple Choice

A pipe with 6 feet in diameter and 8 feet long contains approximately how many gallons?

Explanation:
Calculating the volume of a cylinder and converting cubic feet to gallons. A pipe is a cylinder, so its volume equals the circular end area times its length. The radius is half the diameter, so r = 3 ft. The end area is πr^2 = π × 3^2 = 9π square feet. Multiply by the length: 9π × 8 = 72π cubic feet, which is about 226.2 cubic feet. To get gallons, use 1 cubic foot ≈ 7.4805 gallons, giving 226.2 × 7.4805 ≈ 1690 gallons. The approximate result is 1690 gallons, which matches the closest choice.

Calculating the volume of a cylinder and converting cubic feet to gallons. A pipe is a cylinder, so its volume equals the circular end area times its length. The radius is half the diameter, so r = 3 ft. The end area is πr^2 = π × 3^2 = 9π square feet. Multiply by the length: 9π × 8 = 72π cubic feet, which is about 226.2 cubic feet. To get gallons, use 1 cubic foot ≈ 7.4805 gallons, giving 226.2 × 7.4805 ≈ 1690 gallons. The approximate result is 1690 gallons, which matches the closest choice.

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