Q. 15.0( 5 Votes )
A cylindrical pipe has inner diameter of 7 cm and water flows through it at the rate of 192.5 litres per minute. Find the rate of flow in kilometres per hour.
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
The inner diameter of the pipe = 7 cm
The inner radius of the pipe = = 3.5 cm
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
⇒ h = 300000 cm
= 3 km
Hence, the rate of flow of water is 3 km/h.
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