Water is flowing at the rate of 15 km/h through a pipe of diameter 28 cm into a rectangular tank whi

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24 Jan 2022 Area and Volume

Water is flowing at the rate of 15 km/h through a pipe of diameter 28 cm into a rectangular tank which is 44 m long and 28 m wide. Find the time (hours) in which the level of water in the tank will rise by 50 cm.

OPtion

1) 4
2) 3
3) 5
4) 1
5) 2
6) 3.5
7) 2.5
8) 1.5
9) 4.5
10) None of these

Solution

Pipe is in the form of cylinder
Rate of flow of water = 15 km/hr = 15000 m/hr
Volume of water flowing per hour = π r^2*h = (22/7)*(14/100)*(14/100)*15000 = 924 m^3
Volume of water to be filled in rectangular tank = 44*28*(50/100) m^3 = 616 m^3
So required time = 616/924 hrs = 2/3 hrs = 40 min.
Correct option 10) None of these

Correct Option: 10 Best Solution (0)