Question 80
The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty, we start filling the cistern with water through a pipe whose diameter is 50 cm, water is coming out of the pipe with a velocity of 5 m/s. How many minutes will it take in filling the cistern with water?
Solution
Since Flow rate =Β Volume = Area * height
Volume of cylinder = Area of pipe * velocity * time
time =Β Οr^2h/ΟR^2 * v
t =Β Ο* 10^2*15/Ο (0.25)^2*5
t = 4800 seconds = 80 minutes
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