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MHT CET2008MathematicsArea Under Curves

The volume of solid generated by revolving about the y -axis the figure bounded by the parabola y=x² and x=y² is

Options

  1. A21 5
  2. B24 5
  3. C2 15
  4. D5 24

Correct answer

C. 2 15

Step-by-step solution

V= ₀¹ x² d y = | ₀¹ (y⁴-y ) d y |= | [ y⁵ 5 - y² 2 ]₀¹ |= | [ 1 5 - 1 3 ] |= | -2 15 |= 2 15

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