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Question

Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. Find the rise in the level of water in 30 minutes?

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Solution

Radius of the circular pipe= 0.01 mLength of the water column in 1 sec= 6 mVolume of the water flowing in 1 s =πr2 h=π(0.01)2(6) m3Volume of the water flowing in 30 mins=π(0.01)2(6)×30×60 m3Let h m be the rise in the level of water in the cylindrical tank.Volume of the cylindrical tank in which water is being flown=π(0.6)2×hVolume of water flowing in 30 mins=Volume of the cylindrical tank in which water is being flownπ(0.01)2(6)×30×60 =π(0.6)2×hh=6(0.01)2 ×30×600.6×0.6h=3 m

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