The parabolic arc y = √x, 1 ≤ x ≤ 2 is revolved

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The parabolic arc y = √x, 1 ≤ x ≤ 2 is revolved around the x-axis. The volume of the solid of revolution is

1. π/4
2. π/2
3. 3π/4
4. 3π/2

Correct Option: D

Given: y = √x
⇒ y² = x, 1 ≤ x ≤ 2
Required volume = π^b∫_ay²dx
= π²∫₁x dx

= π		x²		²	= π		2 -	1		=	3π
		2						2			2