The storage tank with diameter 91 ft and height 27.02 ft has an approximate volume in gallons of which of the following?

Prepare for the Washington State WDM 1 with flashcards, multiple choice questions, hints, and explanations. Get exam ready now!

Multiple Choice

The storage tank with diameter 91 ft and height 27.02 ft has an approximate volume in gallons of which of the following?

Explanation:
This question tests estimating the volume of a cylindrical storage tank and converting cubic feet to gallons. The tank is a right circular cylinder, so use V = π r^2 h. The diameter is 91 ft, giving a radius of 45.5 ft. r^2 is 45.5^2 = 2070.25 ft^2. Multiply by the height: 2070.25 × 27.02 ≈ 55,938.155. Multiply by π to get the volume in cubic feet: 55,938.155 × 3.14159 ≈ 175,730 ft^3. Convert to gallons with 1 ft^3 ≈ 7.48052 gallons: 175,730 × 7.48052 ≈ 1,314,600 to 1,315,000 gallons. This is closest to about 1.316 million gallons, so the best approximate value is 1,316,000 gallons.

This question tests estimating the volume of a cylindrical storage tank and converting cubic feet to gallons. The tank is a right circular cylinder, so use V = π r^2 h. The diameter is 91 ft, giving a radius of 45.5 ft. r^2 is 45.5^2 = 2070.25 ft^2. Multiply by the height: 2070.25 × 27.02 ≈ 55,938.155. Multiply by π to get the volume in cubic feet: 55,938.155 × 3.14159 ≈ 175,730 ft^3. Convert to gallons with 1 ft^3 ≈ 7.48052 gallons: 175,730 × 7.48052 ≈ 1,314,600 to 1,315,000 gallons. This is closest to about 1.316 million gallons, so the best approximate value is 1,316,000 gallons.

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