A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is
A. 0
B. 2.07
C. 20.7
D. 41.4
Answer: Option D
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From incompressibility,
πd1² h1 = πd2² h2
⇒ d2 = d2 × √
h1
h2
⇒ d2 = 100 × √
50
= 141.42
25
Percentage change in diameter =
d2 - d1
× 100 = 41.42%
d1
How expain