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Question

A rectangular tank is 80m long and 25m broad. Water flows into it through a pipe whose cross-section is 25cm2, at the rate of 16km per hour. How much the level of the water rises in the tank in 45 minutes?

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Solution

Let the level of water be risen by 'h' cm
Then,
Volume of water in the tank =8000×2500×h
Area of cross-section of the pipe =25 cm2
Water coming out of the pipe forms a cuboid of base area 25 cm2 and length equal to the distance traveled in 45 minutes with the speed of 16 kmph
Length =16000×100×4560
Volume of water coming out of pipe in 45 minutes =25×16000×100(4560)
Now, Volume of water in the tank = Volume of water coming out of the pipe in 45 minutes
8000×2500×h=16000×100×4560×25
h=16000×100×45×258000×2500×60
h=1.5 cm

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