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CBSE Class 10 Answered

Water running in a cylindrical pipe of inner diameter 7cm, is collected in a container at the rate of 192.5 litre per minute. Find the rate of flow of water in the pipe in km/h.
Asked by Akriti | 14 Mar, 2013, 06:47: PM
Expert Answer
Flow rate = Volumetric flow rate/Area
 
Area = pi * r2  = (22/7)*7/2*7/2= 38.5 cm2 
Volumetric flow rate = 192.5 l/min. 
Since 1l = 1dm3 = 1000 cm3
So, Volumetric flow rate = 192.5 *1000  cm3/min
 
So, flow rate = 192.5 *1000  cm3/min / 38.5 cm2 
  flow rate = = 5000 cm/min = 5000*0.00001 km/(1/60 h) = 3 km/h
Answered by | 14 Mar, 2013, 09:52: PM
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