A pipe of diameter 64mm discharges water at a rate of 2.05mm/s into an empty cylindrical tank of diameter 7.6cm and height 2.3m.

Question

The answer given must be rounded off to the nearest number. The question is to find the time recquired to fill the tank. 

Answer 1

circumference of the pipe

Pi *diameter : which is 3.142*64 m= 201.088mm

the pipe discharges 2.05 mm of water per second, so volume of water to tank per second will be:

201.088*2.05= 412.2304mm in one second

then the volume of tank is

V=Pi *r^2= 3.142*3900mm^2*23000= 109910000

to find time

1 sec = 412.2304 mm^3  

109910000/412.2304

=266638.51

rounding off we get

= 266638 seconds.