Question

Water is flowing through a cylindrical pipe of internal diameter 2cm into a cylindrical tank of base radius 40cm at the rate of 0.4m/sec . Determine the rise in the water level in the tank in 30minutes

Answer 1

Answer:

Step-by-step explanation:

See the volume of water which passes through the cylindrical pipe is equal to the volume of water present in the cylindrical tank after half an hour.  

So volume will remain conserved.  

For cylindrical pipe

Radius 0.01m

Height 0.4m/s ie 0.4*60*30m In half an hour.  

For cylindrical tank

Radius 0.4m

Height x(let)  

V1=V2

3.14*(0.01)^2*720=3.14*(0.4)^2*x

Solving for x  

We get x=45cm.