Question

It is required to fix a pipe such that water flowing through it at a speed of $7m$ per minutes fills a tank of capacity $440$ cubic metres in $10$ minutes. The inner radius of the pipe should be:

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

Answer 1

The correct option is A $\sqrt{2}m$

Since the pipe is cylindrical in shape, Volume $=\pi {\left(Radius\right)}^2\times height$

Here, height is considered as the distance traveled.

Volume of water which flows in 10 minutes $=440$

$=>\frac{22}{7}\times {radius}^2\times 7\times 10=440$

$=>radius=\sqrt{2}m$