Question

A rectangular water reservoir is 10.8 meta bi 3.75 metre at the base water flows into it

Answer 1

QUESTION

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

                                                       

ANSWER

$\bold{Length \ of \ the \ Rectangular \ Reservoir} = 10.8 m\\\bold{Width \ of \ the \ Rectangular \ Reservoir} = 3.75 m$

$\bold{Volume \ of \ Rectangular \ Reservoir} = 10.8*3.75*h\\ =(40.5*h)m^{3}-- (1)$

$\bold{Cross \ section \ of \ the \ Pipe} = 7.5 * 4.5 \\= 33.75 cm^{2} \\= 0.003375 m^{2}$

$\bold{Speed \ of \ water} = 18m/s$

$\bold{Distance \ covered \ in \ 1800s} = 18 * 1800 \\= 32400m$

$\bold{ Volume \ of \ Water \ flowed \ in \ 30 \ m = cross \ section \ of \ pipe * \ distance \ covered}\\ = 0.003375 * 32400 \\= 109.35 m^{3} -- (2)$

From (1) and (2)

40.5 * h = 109.35  

=> h = 2.7 m

                                                     

Answer 2

Answer:

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