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Arithmetic Ability
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Q.
A single pipe of diameter x has to be replaced by six pipes of diameters 12 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 ?
A.
14.69 cm
B.
29.39 cm
C.
18.65 cm
D.
22.21 cm
View Answer
Correct choice: B
Explanation:
Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms. As speed is same, area of cross sections should be same. Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12 i.e πR2 = 6πR12 Here R = R and R1 = 12/2 = 6 ⇒R2= 6×6×6 R = 14.696 => D = X = 14.696 * 2 = 29.3938 cm.
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