Question

$600$ persons took a dip in a rectangular tank which is $60m$ long and $40m$ broad. What is the rise in the level of water in the tank, if the average displacement of water by a person is $0.04m^3$?

• A. $4cm$
• B. $3cm$
• C. $2cm$
• D. $1cm$

Answer 1

The correct option is D $1cm$

Amount of water displaced by $600$ people $=600\times 0.04=24m^3$
The rise of water in the tank will be in the form of a cuboid.

Suppose the level of increase in water is denoted as $h$.

Volume of a cuboid $=l\times b\times h$

Hence, $60\times 40\times h=24$
$=>h=0.01m=1cm$