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Q. 500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04 m3 ?

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Solution

Dear Student,
Here is the solution of your asked query:
Let initial height of the pond be h m.Length of pond=80 mAnd breadth of pond = 50 mSo, initial volume of tank = 80×50×h=4000h m3Let x be rise in water level of the pond.Now volume of tank =80×50×h+x=4000x+hFinal volume of tank= initial volume of tank+volume of 500 persons4000x+h =4000h+500×0.044000x+4000h=4000h+20x=204000=0.005Therefore rise in water level of the pond is 0.005m
Regards

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