Answer :

To find: the rise in the level of water in the tank, if the average displacement of water by a person is 0.04 m3 and 500 persons have to dip in a rectangular tank which is 80 m long and 50 m broad.

Solution:  


Length of rectangular tank, l = 80m


Breadth, b = 50m


displacement of water in rectangular tank by 1 person = 0.04 m3

Total displacement of water in rectangular tank by 500 persons = 500 × 0.04 m3 = 20m3 -----(i)


Let depth of the rectangular tank be h


The amount of water displaced is equal to the volume of the tank.


Volume of rectangular tank = lbh


Volume of rectangular tank = 80 × 50 × h m3 -----------(ii)


Equating (i) and (ii), we get


20 = 80 × 50 × h


⇒ h = 0.005 m


As 1 m = 100 cm


So 0.005 m = 0.005 × 100 cm


⇒ h = 0.5 cm


∴ rise in level of water due to angular displacement = 0.5cm

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