SOLUTION: a swamp containing 4158m3 of water,is to be drained by a pump the pump is connected to a pipe of 7cm diameter and operates 8hrs a day.water flows through the pipe at a speed of 1.

Question 1040982: a swamp containing 4158m3 of water,is to be drained by a pump the pump is connected to a pipe of 7cm diameter and operates 8hrs a day.water flows through the pipe at a speed of 1.5m/s. how many days does it take to drain the swamp?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a swamp containing 4158m3 of water, is to be drained by a pump the pump is connected to a pipe of 7cm diameter and operates 8hrs a day. water flows through the pipe at a speed of 1.5m/s. how many days does it take to drain the swamp?
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Find the cross sectional area of the pipe.
Area = pi*r^2 = 12.25*pi sq cm
1.5 m/sec = 150 cm/sec
Flow rate = 150*12.25*pi cubic cm/sec
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Vol/day = Flow rate *8*3600 cc/day
Vol/day = 1200*3600*12.25*pi cc/day
Vol/day = 300*49*3600*pi cc/day =~ 166253083 cc/day
1 cubic meter = 1,000,000 cc
Vol/day = 166.253 cubic meter/day
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4158/166.253 =~ 25 days
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