There is 7.48 gallons per cubic foot. How many gallons are in a pipe 10 feet in diameter and 5 feet long?

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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

There is 7.48 gallons per cubic foot. How many gallons are in a pipe 10 feet in diameter and 5 feet long?

Explanation:
Volume of a cylinder is base area times height. The pipe’s cross-section is a circle with radius half the diameter, so r = 5 ft. The base area is πr^2 = π(5)^2 = 25π ft^2, and the volume is that area times the length: V = 25π × 5 = 125π ft^3 ≈ 392.7 ft^3. Converting to gallons using 7.48 gallons per cubic foot gives 392.7 × 7.48 ≈ 2937.6 gallons, which rounds to about 2938 gallons. The key is using the radius in the area calculation and then converting with the given gallons-per-cubic-foot factor.

Volume of a cylinder is base area times height. The pipe’s cross-section is a circle with radius half the diameter, so r = 5 ft. The base area is πr^2 = π(5)^2 = 25π ft^2, and the volume is that area times the length: V = 25π × 5 = 125π ft^3 ≈ 392.7 ft^3. Converting to gallons using 7.48 gallons per cubic foot gives 392.7 × 7.48 ≈ 2937.6 gallons, which rounds to about 2938 gallons. The key is using the radius in the area calculation and then converting with the given gallons-per-cubic-foot factor.

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