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Question

Water flows through a cylindrical pipe of internal diameter 7cm at 5 metres per second. Calculate the time, in minutes, the pipe would take to fill an empty rectangular tank 4 m×3 m×2.31 m.

A
26
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B
24
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C
18
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D
20
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Solution

The correct option is B 24
Cylindrical pipe has internal diameter =7cm
Radius=3.5cm=0.035m.

t=timeRequired=VolumeToBeFilledVolumeFilledInUnitTime

t=(4×3×2.31)/(π×(0.035)2×5) seconds
t=1440 seconds

t=24min

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