# | | 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 r^{2} 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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