Q. 15.0( 5 Votes )

A cylindrical pip

Answer :

Given:


Inner diameter = 7 cm


Rate of flow of water = 192.5 litres/min.


To find: Rate of flow of water.


Formula Used: Volume of cylinder = πr2h


Explanation:


The inner diameter of the pipe = 7 cm


The inner radius of the pipe = = 3.5 cm


We have,


Water flows at the rate 192.5 litres per minute,


The volume of water that flows in 1 min = 192.5 l


Volume of water that flows in 60 min = (192.5 × 60) l


As 1 l = 1000 cm3


(192.5 × 60) l = (192.5 × 60 × 1000) cm3


Let “h” cm be the length of column of water which flows in 1 hour.


As water is flowing from cylindrical pipe,


So, Water column forms a cylinder of radius 3.5 cm and length “h” cm.


Volume of water that flows in 1 hour = volume of the cylinder




h = 300000 cm


As


h = 300000 cm



= 3 km


Hence, the rate of flow of water is 3 km/h.


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