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Q. A single pipe of diameter x has to be replaced by six pipes of diameters 10 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is:

Option
1) 13 cm
2) 18 cm
3) 24.5 cm
4) 24 cm

Read Solution (Total 2)

Volume of water flowing through 1 pipe of dia x = Volume discharged by 6 pipes of dia 6 cms

As speed is same, area of cross sections should be same.

Area of bigger pipe of dia x = Total area of 6 smaller pipes

pi*R^2 = 6 * pi* 5^2
R = 12.25 cm
Dia = 24.5 cm
12 years agoHelpfull: Yes(7) No(0)

x= 24.5 cms
12 years agoHelpfull: Yes(2) No(1)

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