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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 .
Solution
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.
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