Qn: The Diameter inside a cylindrical pipe is 7 centimeters. If 192.5 liters of water is flowing in 1 minute, the impact rate will be in kilometers per hour.
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∴ Radius of cylindrical pipe = 7/ 2
Volume of water flows in 1 min = 192.5 l
∴ Volume of water flows in 1 hour = 192.5 × 60 × 1000 cm3 ….....(1)
Let l be the distance covered by water in 1 hour
Volume of water that covers the diameter of 1 hour = πr2 l .....(2)
From (1) and (2)
⇒ πr2 l = 192.5 × 60 × 1000
⇒ (22/ 7) x (7/2)2 x l = 192.5 × 60 × 1000
⇒ l = (192.5 × 60 × 1000 x 2 x 2 x 7)/ (22x 7 x 7)
l = 300000 cm
l = 3 km
i.e. distance covered by water in 1 hr is 3 km
∴ Rate of flow of water = 3 km/hr.