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500 persons took dip in a rectangular tank which is 80m long ,50m broad. What is the rise of level of water in tank ,if average displacement of water by a person is 4 cubic metre???

Posted by Harshita Meena 8 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Rashmi Bajpayee 8 years, 10 months ago

Let water level rises by h meters

Since displacement of water by a person = 4 cu.m

Therefore displacement of water by 500 persons = 500 × 4 = 2000 cu.m

Now,

Volume of tank = Volume of displaced water

80 x 50 x h = 2000

h = 2000/4000 = 0.5 m = 50 cm

0Thank You

Naveen Sharma 8 years, 10 months ago

Ans. Suppose water level rise by h meter.

Volume of water displaced by a Man = 4m³

Total Volume Displaced By 500 Men = 4 * 500 = 2000m³

As Tank is in cuboid shape:

Volume of tank = Volume of water displaced

=> 80 * 40 * h = 2000

=> h = 2000/3200 = 5/8m = 62.5cm

3Thank You

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CBSE > Class 09 > Mathematics