Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/h. Find the volume of water flowing through the canal in 30 minutes. (take π = )
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 346500 m3.
⇒ R = D/2 = 7/2 m [D = diameter, R = Radius]
Speed = height of the cylindrical pipe
⇒ 18 km/h = 18 × 5/18 m/s
⇒ 5m/s [1km/h = 5/18 m/s]
The volume of water flowing in cylindrical pipe = πr2h
⇒ 22/7 × (49/4) × 5 = 192.5 m3
In 1 sec volume of water flows = 192.5
In 30 × 60 sec volume of water flows = 192.5 × 30 × 60 = 346,500 m3