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A rectangular reservoir is 10.8m by …

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A rectangular reservoir is 10.8m by 3.75m at the base. Water flows into it at the rate of 18m/s through a pipe having a cross section 7.5 cm by 4.5 cm. find the height to which the water will rise in the reservoir in 30 minutes

  • 1 answers

Naveen Sharma 8 years, 4 months ago

Ans. Let Water raise by h meter height. 

Length of Rectangular Reservoir = 10.8 m

Width of Rectangular Reservoir = 3.75 m 

Volume of Rectangular Reservoir =  10.8×3.75×h=(40.5×h)m3    (1)

Cross section of Pipe = 7.5 * 4.5  = 33.75 cm2 = 0.003375 m2

Speed of water = 18m/s

Distace covered in 30m ( 1800s) = 18 * 1800 = 32400m 

Volume of Water flowed in 30 m = cross section of pipe * distance covere = 0.003375 * 32400 = 109.35 m3    (2)

 

From (1) and (2)

40.5 * h = 109.35 

=> h = 2.7 m

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