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Question -

A farmer connects apipe of internal diameter 20 cm from a canal into a cylindrical tank in herfield, which is 10 m in diameter and 2 m deep. If water flows through the pipeat the rate of 3 km/h, in how much time will the tank be filled?



Answer -

Consider the following diagram-

Volume of water that flows in t minutes frompipe = t├Ч0.5╧А m3

Volume of water that flows in t minutes frompipe = t├Ч0.5╧А m3

Radius (r2) of circular end ofcylindrical tank =10/2 = 5 m

Depth (h2) of cylindrical tank = 2m

Let the tank be filled completely in tminutes.

Volume of water filled in tank in t minutes isequal to the volume of water flowed in t minutes from the pipe.

Volume of water that flows in t minutes frompipe = Volume of water in tank

t├Ч0.5╧А = ╧А├Чr22├Чh2

Or, t = 100 minutes

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