Q. 155.0( 3 Votes )

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

Answer :

Given,

Length (l) = 40m

Width (w) = 15m

Shallow end height = 1.5 m

Deep end height = 3m

So, To find the volume of the pool, we first find the area of trapezium ABCD and considering trapezium as base multiply it with width to find the volume.

= 90 m^{2}

The volume of water to fill pool = Base area × height

Here height is the width of the pool (w)

⇒ Volume = 90 × 15

= 1350 m^{3}

So, amount of water required to fill pool is 1350000 litres.

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