500 men took dip in tank,which is 80m long and 50m broad. What is the rise iin the water level if the average displacement of water by a man is 4m^3

Let the rise in the level of water in the tank = h 

Now, 

The amount of water rises in the tank = Displacement of water taken by 500 persons.

⇒ 80 × 50  × h = 500 × 4 

⇒ 4000h = 2000 

 

Thus, the rise of level of water in the tank is 500mm.

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Average Displacement by a man = 4m3

=> Total Displacement of water = 4 * 500 = 2000m3

Total Displacement = L X b X H

=> 2000 = 80 X 50 X H

=> 2000 = 4000 X H

=> H = 2000/4000

=> H= 1/2m

=> The water level rose by 0.5m or 50cm.

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