Question

Water is flowing through a cylindrical pipe of diameter 2 cm into a cylindrical tank of base radius 40cm and water flows at rate of 0.4 m/sec . determine the rise of water level in tank in half an hour

Answer 1

Answer:

45

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.