Question 139

The dimensions of a swimming pool are 66 m x 35 m x 3 in. How many hours will it take to fill the pool by a pipe of diameter 35 cm with water flowing at speed 8 m/s?

Solution

Amount of water contain in pool

$$=(66×35×3)m^3=6930m^3.$$

Radius of pipe$$=0.175m.$$

So, Amount of water can flow through the pipe is$$=(0.175×0.175×(22/7)×8)m^3/s.$$

$$=0.77m^3/s.$$

So, it will take $$6930/0.77=9000s.$$

or, $$=9000/3600=2.5 hours.$$

Option C is correct.

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