Application of Derivatives
Xam Idea
CBSE
Grade 12
Question:
Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius $R$ is $\dfrac{2R}{\sqrt{3}}$.
Step-by-Step Solution
Key Concept: V = \pi r^2 h = \pi(R^2 - h^2/4)h. dV/dh = 0 => h = 2R/\sqrt{3}.
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Correct Answer:
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