Question

Water flows out through a circular pipe whose internal diameter is 2cm, at the rate of 6m/s into a cylindrical tank.The water is collected in a cylindrical vessel radius of whose base is 60cm. Find the rise in the level of the water in 30 minutes.

Answer 1

Internal Diameter =2 cm
Internal Radius =1 cm
Rate =6 m/s, i.e 6 m in /sec
In 30 minutes, = $30\times 60=1800$ sec.
6m in 1 sec.
$\Rightarrow$ 10800 m in 1800 sec.
Volume of cylindrical tank =$\pi r^{2}h=\pi (60{)}^{2}h$
Volume of circular pie =volume of cylinder
$x\times (1{)}^2\times 10800=\pi \times (60{)}^2\times hh=\frac{10800}{3600}=3m$