Question

Water flows in a tank 150m × 100m at the base through a pipe whose cross section is 2dm by 1.5dm at the speed of 15km/hr. In what time will the water be 3m deep?​

Answer 1

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