A parabola x = y² with 0 ≤ x ≤ 1 is shown in

A parabola x = y² with 0 ≤ x ≤ 1 is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by 360° around the x-axis is

Here, volume of solid of rotation by rotating shaded area by 360° around x-axis is,
V = ¹∫₀πy²dx

V = ¹∫₀ πx dx =	πx²		²	=	π
	2		₀		2