Question

27. Water flows in a tank 150 m x 100 m at the base through a pipe whose cross-section is 2
dm x 1.5 dm at the speed of 15 km/h. In what time, will the water be 3 m deep?
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Answer 1

Answer:

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Step-by-step explanation:

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