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MHT CET2010MathematicsArea Under Curves

The volume of the solid formed by rotating the area enclosed between the curve y²=4 x, x=4 and x=5 about x -axis is (in cubic units)

Options

  1. A18
  2. B36
  3. C9
  4. D24

Correct answer

A. 18

Step-by-step solution

Volume of the solid = ₄⁵ y² d x= ₄⁵ 4 x d x=4 [ x² 2 ]₄⁵=2 x(25-16)=18 cu unit

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