Question

A swimming pool is 40 m long and 15m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of the pool slopes uniformly, find the amount of water in liters required to fill the pool.

• A. 13,50,000 litres
• B. 900000 litres
• C. 400000 litres
• D. 5000000 litres

Answer 1

The correct option is A 13,50,000 litres

Vol. of Swimming pool $=$ Vol. of cuboid + Vol. of the triangular part
Vol. of cuboid of length$=40$,breadth$=15$,height$=1.5$ $=40\times 15\times 1.5=900m^3$
Vol. of triangular part $=40$,height $=1.5$,length $=15$,$=\frac{1}{2}\times 40\times 15\times 1.5$$=450m^3$
$\therefore$ volume of swimming pool$=900+450=1350m^3=1350000litres$