| The water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 60 m long and 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 m is |
| [SSC (CGL) 2011, (CPO) 2009] |
A) 2
B) \[1\frac{1}{2}\]
C) 3
D) \[2\frac{1}{2}\]
Correct Answer: A
Solution :
| Water flowed through pipe in \[1\,\,h=\pi {{r}^{2}}h\] |
| \[=\frac{22}{7}\times \frac{7\times 7}{100\times 100}\times 5000=77\,{{m}^{3}}\] |
| Required volume of water in tank |
| \[=\,\,\frac{50\times 44\times 7}{100}=154\,{{m}^{3}}\] |
| \[\therefore \] Time taken to fill the tank \[=\frac{154}{77}=2\,h\] |
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