Question

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

Answer 1

Given that length of a rectangular tank (r) = 80m

Breath of a rectangular tank (b)= 50m 

Total displacement of water in rectangular tank

By 500 persons = 500 x 0.04m³

= 20m³                          ______(1)

Let depth of rectangular tank be h

Volume of rectangular tan k = lbh

= 80 x 50 x hm³        ______(2)

Equating (1) and (2)

⇒ 20 = 80 x 50 x h

⇒ 20 = 4000h

⇒`20/4000` = h

⇒ h = 0.005m

h = 0.5cm

∴Rise in level of water in tank (h) = 0.05cm.