Question

a swimming pool is 50 m long and 15 m wide it's shallow and deep ends are 1.5m and 3m deep respectively . if the bottom of the pool slope uniformly , find the amount of water required to fill the pool ​

Answer 1

Step-by-step explanation:

to fill the pool is 13,50,000 litres.

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Answer 2

Answer:

13,50,000 litres

Step-by-step explanation:

The cross section of the swimming pool is a trapezium with parallel sides 1.5m and 3m (depth of both ends) and 40m (length of pool) as the ⊥ r distance between ∥ sides.

The width of pool 1.5m can be the length of  cross section.

Length of swimming pool=40m

Breadth of the pool=15m

Depth of the pool=1.5m and 3m

Volume of water

$= \frac{1}{2}(1.5 + 3) \times 40 \times {15m}^{3} \\ \\ = \frac{1}{2} \times 4.5 \times 40 + {15m}^{3} \\ \\ = {1350m}^{3}$

Capacity of water in litres

$= 1350 \times 1000l \\ \\ = 1350000 \: litres$

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