a farmer connects a pipe of internal diameter 20cm from a canel into a cylidrical tank in his field ,which is 10 m in diameter and 2m deep .if water flows through the pipe at a 3km/hr ,in how much time will the tank be filled

Consider an area of cross-section of pipe as shown in the figure.

Radius (r₁) of circular end of pipe =

Area of cross-section =

Speed of water = 3 km/h =

Volume of water that flows in 1 minute from pipe = 50 ×= 0.5? m³

Volume of water that flows intminutes from pipe =t× 0.5? m³

Radius (r₂) of circular end of cylindrical tank =m

Depth (h₂) of cylindrical tank = 2 m

Let the tank be filled completely intminutes.

Volume of water filled in tank intminutes is equal to the volume of water flowed intminutes from the pipe.

Volume of water that flows intminutes from pipe = Volume of water in tank

t× 0.5? = ? ×(r₂)²×h₂

t× 0.5 = 5²×2

t= 100

Therefore, the cylindrical tank will be filled in 100 minutes.

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