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Paragraph: Consider an open cylindrical reservoir whose cross-sectional view is as shown in the figure. The thickness of the wall of cylinder is 1 cm as shown in the figure & the volume of the reservoir is 27 ~cm ^3 . Let x & h be the radius and the height of the cylinder and v(x)= (x+a)^2+ b x + c x^2 , where v(x) represents the volume of the material required to construct the cylinder expressed as a function of rad

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

On the basis of sign scheme of v^ (x) in Q .10 graph of v ( x ) is as shown below. from figure it is clear that the equation v(x)=0 has 2 roots.

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