Water flows in a tank 150m × 100m at the base through a pipe whose cross-section is 2 dm × 1.5 dm at the speed of 15 km/h. In what time, will the water be 3m deep
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Answer:
Volume of water discharged through the pipe = Volume increase of the tank
First, consider the pipe.
Volume discharge through pipe = length×breadth×speed×time
Let the time taken to fill the tank to 3 m depth be t.
Volume discharge through pipe, V=2×10
−1
×1.5×10
−1
×15×10
3
×t
⇒ V=450t cu. m
Now consider the tank
Depth of the tank = 3 m
Volume of the tank V=150×100×3 cu. m
⇒ V=450×100
Therefore, 450t=450×100
⇒ t=100 hours
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