A solid cylinder of diameter 100 mm and height 50 mm is

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

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