Mathematics
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?
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Answer
From figure,
The swimming pool cross-section is in the shape of trapezium.
Area of cross-section =
=
= 75 m2.
Volume of pool = Area of cross-section × length
= 75 × 12
= 900 m3
= 900 × 1000 liters
= 900000 litres.
Hence, 900000 litres of water will fill the pool.
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