26
APMultiple Choice

Diagnostic PreTest

Question 26 • VT-SC-WIN Ready to Work Assessment: Applied Math

You are a construction worker who is laying down concrete drainage pipes. Each pipe is 5 feet long and 3 inches thick, and has an outside diameter of 6.5 feet. You lay down 4 drainage pipes end to end.At any given time, what is the volume of water that passes through the 4 drainage pipes at half capacity? Round the answer to the nearest tenth of a cubic foot.

Answer
A
141.3
B
165.8
C
282.6
D
306.6
E
565.2

Explanation

The 3-inch thickness reduces the diameter by 6 inches total, or 0.5 foot, so the inside diameter is 6 feet and the inside radius is 3 feet. The four pipes have a combined length of 4 × 5 = 20 feet. Half-capacity volume is ½ × π × 3² × 20 ≈ 282.7 cubic feet, which corresponds to choice C, 282.6 cubic feet (using π ≈ 3.14).

AI-written and checked against the verified answer.

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