Practice | Hashtable

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

1. Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. By how much will the level of water rise in 30 minutes ?

A. 2 m

B. 3 m

C. 4 m

D. 5 m

Solution:

Volume of water flown through the pipe in 30 min :

\begin{aligned} = [(π \times 0.01 \times 0.01 \times 6) \times 30 \times 60] m^{3} \\ = (1.08 π) m^{3} \end{aligned}

Let the rise in level of water be h metres
Then,

\begin{aligned} π \times 0.6 \times 0.6 \times h = 1.08 π \\ \Rightarrow h = (\frac{1.08}{0.6 \times 0.6}) \\ \Rightarrow h = 3 m \end{aligned}

You must login to add comments. Login now.