Question: Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is
Options:
A) 2
B) $ 1\frac{1}{2} $
C) 3
D) $ 2\frac{1}{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] Water flowed by the pipe in $ 1,h=\pi r^{2}h $
$ =\frac{22}{7}\times \frac{7\times 7}{100\times 100}\times 5000=77,m^{3} $
Volume of expected water in the tank
$ =\frac{50\times 44\times 7}{100}=154,m^{3} $
$ \therefore $ Required time $ =\frac{154}{77}=2,h $