A flushing plan includes 300 ft of pipe with a 2 in. inside diameter. Using 7.48 gal/cf, what water volume is inside the pipe?
Correct Answer
B) 49.0 gal
Radius is 1 in. = 1/12 ft. Volume is pi x (1/12)^2 x 300 = 6.545 cf. Gallons are 6.545 x 7.48 = 49.0 gal. Other choices use the wrong radius, confuse diameter with radius, or skip the gallon conversion.
Why This Is the Correct Answer
Radius is 1 in. = 1/12 ft. Volume is pi x (1/12)^2 x 300 = 6.545 cf. Gallons are 6.545 x 7.48 = 49.0 gal.
Why the Other Options Are Wrong
Option A: 39.2 gal
pipe volume, choice b: 39.2 gal is wrong because 39.2 gal reflects a different quantity stage than the final takeoff.
Option C: 58.8 gal
pipe volume, choice c: 58.8 gal reflects a different quantity stage than the final takeoff.
Option D: 78.5 gal
pipe volume, choice d: 78.5 gal reflects a different quantity stage than the final takeoff.
Memory Technique
Picture a cover note labeled pipe volume: finish every operation before accepting 49.0 gal.
Reference Hint
Open Pipe and Excavation Contracting, 2011; use the index entry or section for "Pipe volume calculation" to confirm that Radius is 1 in.
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