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CBSE Class 10 Answered

Water is flowing through acylindrical pipe of internal diameter 2cm, into a cyclindrical tank of base radius 40 cm, at the rate of 0.4 m per second.Determine the rise in level of water in the tank in half an hour.  
Asked by Krajan297 | 27 Oct, 2018, 11:22: PM
answered-by-expert Expert Answer

Given, internal radius of pipe=1cm

Rate=0.4m/s=40cm/s

Quantity of liquid passed in 1 sec=πr²h=22/7*1*1*40=880/7 cm³

Quantity ot liquid passed in 1/2hrs i.ei, 30min

=(880/7*1800)cm³

Volume of tank filled in 1/2hrs=π*(40)²*h

volume of tank filled in 1/2hrs=Quantity of water passed through the pipe in 1/2hrs

22/7*(40)²*h=880/7*1800

Thus,h=45 cm

Answered by Arun | 28 Oct, 2018, 06:51: PM

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