Question

water flowing at the rate of 8m per second through a circular pipe whose internal diameter is 2 cm into a cylinder tank the radius of whose base is 40 cm determine the increase in the water level in 30 min

Answer 1

Step-by-step explanation:

We have

Rate of flow of water =7m/sec=700cm/sec

Length of the water column in

2

1

hours=(700×30×60)cm

Clearly water column forms a cylinder of radius 1cm and length (700×30×60)cm

volume of the water that flows in the tank in

2

1

hour

=(

7

22

×1×1×700×30×60)cm

3

........(i)

Let h cm be the rise in the level of water in the tank.

Then, volume of the water in the tank =

7

22

×40×40×hcm

3

.......(ii)

From (i) and (ii) we have

7

22

×40×40×h=

7

22

×1×1×700×30×60

⇒h=787.5≈788cm