Question

Water flows through a cylindrical pipe of internal diameter 7cm at 5m/sec. Calculate the volume in litres, of water discharged by the pipe in one minute. Also calculate the time taken in minutes the pipe would take to fill an empty rectangular tank 4m*3m*2.31m

Answer 1

then volume of the cylindrical pipe=π7/2×7/2×5000cm³., converting into liters we get=π7/2×7/2×5=192.42 lites.
and length of the water column in the pipe in 1 minute= 300 m. so volume discharged by it in one minute=π49/4×300×100=1154.53 litres.
suppose x time shall be taken by the pipe to fill the rectangular tank. then volume of the pipe x x times=volume of the tank
=> (49π/200×200)×5x=4×3××2.31
=>x=1440 seconds ( approx). then in minutes it will be 24minutes.