| | Question 45

Water is flowing at the rate of 10km/h through a pipe of diameter 28 cm into a rectangular tank which is 100m long 44m wide. The time taken for the rise in the level of water in the tank be 14 cm is
(A) 2 hours
(B) 3 hours
(C) 4 hours
(D) 2.5 hours


Answer: (A)

Explanation: Let the time taken to fill is a hours.
Volume of water transfered through pipe in a hours is equal to Volume of water in the rectangular tank.
π r2 h x a = 100 x 44 x 14/100
22/7 x 14/100 x 14/100 x 5000 x a = 100 x 44 x 14/100
a = (100 x 44 x 14 x 7 x 100 x 100) / (22 x 14 x 14 x 5000 x 100)
a = 2 hours
Hence, time taken is 2 hours.

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