Q238 / 270 · NDA 2014 (Phase 2) · Mathematics

A cylinder is inscribed in a sphere of radius $r$. What is the radius of the cylinder of maximum volume?

  • A
    $\frac{2 r}{\sqrt{3}}$
  • Correct answer
    B
    $\frac{\sqrt{2} r}{\sqrt{3}}$
  • C
    $r$
  • D
    $\sqrt{3} r$

Solution

The correct answer is option (B)

Hence, the correct answer is option: 'B'.

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