Answer :

Given:

Diameter = 14 cm = 0.14 m


Dimensions = 50 m × 44 m


Rate = 5 km/hour


Let, the time in which the level of water in the tank rise by 7 cm = x hrs


Diameter = 0.14 m


Radius = 1/2 × 0.14 m = 0.07 m


In one hour the water flows = 5 km


In x hours the water flows(h) = 5x km = 5000x m


Volume of water flowing in x hours = πr2h






Volume of water flowing in x hours = 77 x


Volume of water falls into tank in x hours = 50 × 44 × 0.07


Volume of water falls into tank in x hours = 154 m3


Now,


Volume of water flowing in x hours = Volume of water falls into tank in x hours


77 x = 154



Hence, the level of water in the tank will rise by 7 cm in 2 hours


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