Water flows through a circular pipe whose internal radius is 1cm, at the rate of 80cm/sec into an empty cylindrical tank, the radius of whose base is 40cm. By how much, will the level of water rise in the tank in half an hour?
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Answer:
Cylindrical Pipe:
r = 1cm
l in 1sec = 80cm
l in half an hour = 80 × 1800 ( half an hour = 30 min = 30 × 60sec)
Cylindrical Tank:
R = 40cm
Volume of water filled in Cyl. Tank in 30min = Volume of water flows through the cylindrical pipe in 30min
40×40×H= 1×1×80×1800
H = (8×1800)/(40×40)
H = 9 cm
Therefore water raised in tank in half an hour is 9cm
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