Question

Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0.4 m/s. Determine the rise in the level of water in the tank in half an hour.

Answer 1

Given, internal diameter of cylindrical pipe = 2 cm
So, radius of cylindrical pipe $\left(r\right)=\frac{2}{2}=1cm$
And, radius of cylindrical tank (R) = 40 cm
Let level of water rise to the height of h cm.
Now, volume of cylindrical tank = Volume of water flown out in half an hour
Hence, level of water rise to the height of 45 cm