water is flowing through a pipe of diameter 14cm at the rate of 5 km/h,into a tank which is 25m long and 22m wide. determine the time in which the level of water in tank rises to 21cm.

Asked by  | 28th Feb, 2013, 11:22: AM

Expert Answer:

Let the time be t
 
Since, the pipe is cylindrical in shape with radius = 14/2 = 7 cm = 0.07 m and height as 5 km/h = 5000m/h
 
So, the volume of water flown in time t = pi * (r)2 *h *t
So, the volume of water flown in time t = pi * (0.07)2 *5000 *t = 24.5*pi*t m3
 
Volume of the tank = l *b*h = 25*22* 0.21 = 115.5 m3 ( 21 cm height needs to be converted into meters)
 
Also, Volume of tank = volume of water flown through pipe in time t
so, 115.5 = 24.5*pi*t
t = 1.5 h 
 
So, it will take 1.5 h for the water ro rise 21 cm in the tank. 

Answered by  | 28th Feb, 2013, 04:51: PM

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