The semi vertical angle of a right circular cone of maximum volume of a given slant height is Option 1: ^-1 2 Option 2: ^-1(1/3) Option 3: ^-1(1sqrt(3)) Option 4: ^-1(1sqrt(3))

The answer is '^-1(1sqrt(3))'. View full solution:

Calculus > Application of Derivatives

Hard

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The semi vertical angle of a right circular cone of maximum volume of a given slant height is

$\tan^{-1} 2$

$\sin^{-1}\left(\frac{1}{3}\right)$

$\cos^{-1}\left(\frac{1}{\sqrt{3}}\right)$

$\sin^{-1}\left(\frac{1}{\sqrt{3}}\right)$

✅ Correct Option: 3

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