A swimming pool of length $10m$ and height $6\frac{1}{2}m$ can contain $5,20,000l$ of water. What is the breadth of the swimming pool?

The correct option is C $8m$

The capacity of the swimming pool $=5,20,000l$

We know that, $1000l=1m^3$

$\therefore \text{5,20,000}l=\frac{520000}{1000}=520m^3$
So, the volume of the swimming pool $=520m^3$

Given:

The length the swimming pool
$=10m^3$

the height the swimming pool
$=6\frac{1}{2}$ $=\frac{13}{2}$ m

$\text{Volume = length}\times \text{breadth}\times \text{height}$
$\Rightarrow 520=10\times \text{breadth}\times \frac{13}{2}$
$\Rightarrow 520=65\times \text{breadth}$
$\Rightarrow \text{breadth=}\frac{520}{65}=8m$

Hence, the breadth of the swimming pool $=8m$