What is the total capacity of a cylindrical chemical storage tank that has a height of 12 feet and a diameter of 6 feet?

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Multiple Choice

What is the total capacity of a cylindrical chemical storage tank that has a height of 12 feet and a diameter of 6 feet?

Explanation:
Calculating the tank’s capacity uses the cylinder volume formula: volume equals base area times height. The radius is half the diameter, so radius = 3 ft. Base area = πr^2 = π × 9 = 9π square feet. Multiply by height: 9π × 12 = 108π ≈ 339.3 cubic feet. Convert to gallons with 1 cubic foot ≈ 7.48052 gallons: 339.3 × 7.48052 ≈ 2,536.8 gallons. So the total capacity is about 2,536.8 gallons. The other options are off because they result from incorrect radius/height values or unit conversions, not matching the calculated cylinder volume in gallons.

Calculating the tank’s capacity uses the cylinder volume formula: volume equals base area times height. The radius is half the diameter, so radius = 3 ft. Base area = πr^2 = π × 9 = 9π square feet. Multiply by height: 9π × 12 = 108π ≈ 339.3 cubic feet. Convert to gallons with 1 cubic foot ≈ 7.48052 gallons: 339.3 × 7.48052 ≈ 2,536.8 gallons. So the total capacity is about 2,536.8 gallons. The other options are off because they result from incorrect radius/height values or unit conversions, not matching the calculated cylinder volume in gallons.

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