Question

A pipe of internal diameter 20cm from a canal is connected to a cylindrical tank of radius 5m and height 2m. If water flows through the pipe at 6km/hr, how much time will it take for the tank to be filled?

• A. 60 min
• B. 35 min
• C. 50 min
• D. 30 min

Answer 1

The correct option is C

50 min

Volume of water flowing through pipe in 1 hour = $\pi r^{2}h=\pi \times (10{)}^2\times 6,00,000=(6\times {10}^7)\pi c{m}^3$

Volume of cylindrical tank = $\pi r^{2}h=\pi \times (500{)}^2\times 200=(5\times {10}^7)\pi c{m}^3$
Let t be the time taken to fill the cylindrical tank = $\frac{Volumeofcylindricaltank}{Volumeofwaterflowingthroughthepipein1hr}$

$\Rightarrow$ $\frac{5\times {10}^7}{6\times {10}^7}=\frac{5}{6}$ hours =$\frac{5}{6}$ × 60 = 50 minutes