Water flows in a tank 150 m × 100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm, at a speed of 15 km per hour. -Maths 9th

Water flows in a tank 150 m × 100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm, at a speed of 15 km per hour. -Maths 9th
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1 Answer

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=2×10−1×1.5×10−1×15×103×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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The sewage discharge in a detritus tank of a treatment plant is 576 litres/sec with flow velocity of 0.2 m/sec. If the ratio of width to depth is 2, the depth is A. 100 cm B. 110 cm C. 120 cm D. 150 cm

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