Question

am overhead tank has been constructed to supply water to a village with a population of 3140 at the rate of 25 liters per head per day. water is pumped into it through a pipe of 10cm diameter, the rate of flow being 4m per sec how long it take to fill the tank every morning ​

Answer 1

Time required every morning is 40 min 37 sec

     

Step-by-step explanation:

Given : Population = 3140

Quantity = 25 liters per head

So total water supplied= 25*3140 liters

Water supplied in 1 sec =pi* (0.05)^2 * 4 cubic meter  (Applying volume of a cylinder and converting radius from cm to meter)

Water supplies in 1 sec = 22*0.05*0.05*4/7= 22*25*4/(10000*7) cubic meter

                                       =2200*1000/(10000*7) liters =220/7 liters

So total time required = (25*3140)/(220/7) sec

=25*3140*7/220 sec

=   2497 sec =41 min 37 sec