# A farmer ru

Let the time-taken by the pipe to fill the tank be x hrs.

Since the water is flowing at a rate of 3 kmph, therefore

Length of water column in x hrs is

3 × x = 3x km = 3000x m

Therefore the length of the pipe is

Therefore, the volume of water flowing through the pipe in x hours, V’ = π r2 h

= π (0.1)2 (3000x) m3

Also, volume of water that falls into the tank in x hours = π r2 h

= π (5)2 (2)

The volume of water flowing through the pipe in x hours = volume of water that falls into the tank in x hours

π (0.1)2 (3000x) = π (5)2 (2)

30x = 50

= 1hr 40min

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