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:  Pick one:  A) 13 cm  B) 18 cm  C) 24.5 cm  D) 24 cm  E) 25 cm
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   ANSWER:24.5 cm
<result>C</result>
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: