Question

23. A swimming pool is 30 m long and 12 m broad. Its shallow and
deep ends are 1.5 m and 3.5 m deep respectively. If the bottom
of the pool slopes uniformly, how many litres of water will fill
the pool?​

Answer 1

900 liter of water can be filled in the swimming pool.

Step-by-step explanation:

Given:

Here a swimming pool is having,

length = 30 m

breadth = 12 m

shallow and  deep ends are 1.5 m and 3.5 m deep respectively.

Now, equivalent height is equal to the median of shallow and  deep ends.

⇒ $\frac{1.5+3.5}{2}$ = $\frac{5}{2}$ = 2.5 m

Volume of pool = $length \times breadth \times height$

                          = $30 \times 12 \times 2.5$

                          = $900 m^3$

Therefore 900 liter of water can be filled in the swimming pool.

Answer 2

Step-by-step explanation:

Given: $L=30 m$ and $B=12m$. Shallow and deep ends are $1.5 m$ and $3.5m$.

To find: Litres of water that can fill the pool.

For calculation of the litres of water,

We know that $height = median$ of shallow and deep ends,

⇒ $\frac{1.5+3.5}{2}$

⇒ $\frac{5}{2}$

⇒$2.5m$

We know that Volume of the pool $= l$×$b$×$h$

⇒ $30$ × $12$ × $2.5$

⇒ $900m^{3}$

The pool can fill $900L$ of water.