convert 192.5 liter per min into km per hr
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SolutionVolume of water that flows per hour = (192.5 * 60) litre
= 192.50*60*1000 cm^3 ....(i)
Inner diameter of the pipe = 7 cm
Inner radius of the pipe = 7/3 cm = 3.5 cm
Let h cm be the length of the column of water that flows in one hour
Clearly, water column is a cylinder of radius 3.5 cm and length h cm.
therefore
Volume of water that flows in 1 hours
= Volume of cylinder of radius 3.5 cm and length h cm
= 22/7 * 3.5^2 * h cm^3 ....(ii)
From (i) and (ii), we get
22/7 * 3.5*3.5*h = 192.50*60*1000
h = 300000 cm
= 3 km
Hence, the rate of flow of water is 3 km per hour.
Option 3)
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