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Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metre 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? Explain this question?
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Water flows out through a circular pipe whose internal diameter is 2 c...
Internal diameter of the pipe =2cm
So its radius =1cm=1001​m
Water that flows out through the pipe in 6ms−1
So volume of water that flows out through the pipe in 1sec=π×1001​2×6m3
∴  In 30 minutes, volume of water flow =π100×1001​×6×30×60m3
This must be equal to the volume of water that rises in the cylindrical tank after 30 minutes and height up to which it rises say h.
Radius of tank =60cm=10060​m
Volume =π(10060​)2h
=π(10060​)2h=π×100×1001​×6×30×60

⇒100×10060×60​h=100×1006×30×60​

⇒h=363×36​=3m
So required height will be 3m.
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Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metre 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? Explain this question?
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