Multiple choice

The right circular cone of largest volume that can be enclosed by a sphere of 1 m radius has a height of

  1. $\frac{1}{3}m$
  2. $\frac{2}{3}m$
  3. $\frac{2\sqrt{2}}{3}m$
  4. $\frac{4}{3}m$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\frac{d^2V}{dH^2}=\frac{1}{3}\pi[4-0]>0(Minima)\\ \text{So, for the largest volume of cone, the value of H should be 4/3}$

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