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 m^{3 }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 m

^{3}

Total displacement of water in rectangular tank by 500 persons = 500 × 0.04 m^{3} = 20m^{3} -----(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 m^{3} -----------(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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