Question

a farmer connects a pipe of internal diameter 20 cm.from a canal into a cylindrical tank in her field, which is 10m in diameter and 2m deep. If water flows through the pipe at the rate of 3km/hr,in how much time will the tank be filled

Answer 1

canal's diameter =20 cm or 0.2m
radius = 0.1m
rate = 3 km/h or 3*5/18=5/6m/s

tank'5 diameter= 10m
radius= 5m
h= 2m
capacity = πr²h
= 22/7 * 5*5*2
= 1100/7m³

volume of liquid which will pass with canal= 1100/7m³= 22/7 *1/10*h
h= 500m
speed of water = 500/ t
500/5/6= t
t = 16.666..s