Question

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Answer 1

Solution:-

Volume 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.