Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Volume and Surface Area > Miscellaneous

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

A. $\sqrt{2} m$

B. $2 m$

C. $\frac{1}{2} m$

D. $\frac{1}{\sqrt{2}} m$

Solution:

Let the inner radius of the pipe be r metres
Then,
Volume of water flowing through the pipe in 10 minutes :

\begin{aligned} = [(\frac{22}{7} \times r^{2} \times 7) \times 10] m^{3} \\ = (220 r^{2}) m^{3} \\ ∴ 220 r^{2} = 440 \\ \Rightarrow r^{2} = 2 \\ \Rightarrow r = \sqrt{2} m \end{aligned}

You must login to add comments. Login now.