# 500 persons took a dip in a rectangular tank which is 80m long and 50m broad . What is the rise in level of water in the tank , if the average displacement of water by a person is 0.04mÂ³

The volume of a rectangular tank

$l \times b \times h \\ = 80 \times 50 \times h \\ = 4000 h m^{3}$

where 'h' is the height of the tank

Average displace of water by 500 people = $0.4 \times 500 = 20 m^{3}$ rise tank

now,

$4000h = 20 \\ \Rightarrow h = \frac{1}{200}\\ \Rightarrow h = 0.005m\\$

Hence, rise in level of water h = 0.005 m

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