Question

Choose the correct answer from the alternatives given.
Water is flowing at the rate of $5$ km/hr 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

• A. $2$
• B. $1\frac{1}{2}$
• C. $3$
• D. $2\frac{1}{2}$

Answer 1

The correct option is A $2$

Water
flowed by the pipe in lh = $\pi r^{2}h$
= $\frac{22}{7}\times$ $\frac{7\times 7}{100\times 100}$ $\times 5000m^3=77m^3$
Volume
of expected water in the tank = $\frac{50\times 44\times 7}{100}=154m^3$
Required
time= $154/77=2hrs$.