A cylindrical tank is 10 ft high and 7 ft in diameter. What is the approximate volume?

Prepare for the NCCR Boilermaker Test. Includes flashcards and multiple-choice questions with hints and detailed explanations to ensure your success. Gear up for your examination!

Multiple Choice

A cylindrical tank is 10 ft high and 7 ft in diameter. What is the approximate volume?

Explanation:
Volume of a cylinder comes from base area times height. The base is a circle with radius half the diameter, so radius is 3.5 ft. The base area is πr^2 = π(3.5)^2 = 12.25π square feet. Multiply by the height (10 ft): V = 10 × 12.25π = 122.5π cubic feet. Using π ≈ 3.14 gives V ≈ 122.5 × 3.14 ≈ 384.85 cubic feet, which is about 385 cubic feet. So 385.0 cubic ft is the best match. The other options are farther from this estimate.

Volume of a cylinder comes from base area times height. The base is a circle with radius half the diameter, so radius is 3.5 ft. The base area is πr^2 = π(3.5)^2 = 12.25π square feet. Multiply by the height (10 ft): V = 10 × 12.25π = 122.5π cubic feet. Using π ≈ 3.14 gives V ≈ 122.5 × 3.14 ≈ 384.85 cubic feet, which is about 385 cubic feet. So 385.0 cubic ft is the best match. The other options are farther from this estimate.

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