In the given problem shape of the pipe is cylindrical to find answer of this question need to use cylinder volume formula. This question was asked in 2013 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of solid, page number 811, exercise 17B, problem number 28
Deepak BoraNewbie
Water running in a cylindrical pipe of inner diameter 7 cm, is collected in a container at the rate of 192.5 liters per minute. Find the rate of flow of water in the pipe in km/hr.
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Given data,
Radius of cylindrical pipe, r = 7/2 cm = 3.5 cm
The rate of flow of water per hour = 192. 5 L/min = 192.5×1000 cm³/1 min
= 192500 cm³/min
Volume of cylindrical pipe = The rate of flow of water per hour
Volume of cylindrical pipe = πr²h
= 22/7 * 3.5² * h
22/7 * 3.5*3.5*h = 192500
h = 300000 cm
= 3 km
∴ the rate of flow of water in the pipe is 3 km/hr.