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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

Posted by Siddhanth Kumaraswamy 8 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 10 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 = \(10.8 \times 3.75 \times h = ({40.5 \times h } )m^3\) (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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