Application of Derivatives Question - CBSE

Question

The height of a cylinder of maximum volume that can be inscribed in a sphere of radius $R$ is:
(a) $\dfrac{2R}{\sqrt{3}}$
(b) $\dfrac{R}{\sqrt{3}}$
(c) $\sqrt{3} R$
(d) $\dfrac{2R}{3}$

Accepted Answer

$\dfrac{dV}{dh} = \pi(R^2 - 3h^2/4) = 0 \Rightarrow h = \dfrac{2R}{\sqrt{3}}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating height $h = 2R/\sqrt{3}$: 1.0 Mark

Question:

Step-by-Step Solution

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