Question

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

Options :

  1. π/4

  2. π/2

  3. π

Show Answer

Answer :

π/2

Solution :

Volume of the solid of rotation obtained by rotating the shaded area by 360o around the xaxis is given by

                                              

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