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Show that the Semi-vertical Angle of the Cone of the Maximum Volume and of Given Slant Height is Tan^(-1) Sqrt(2) - Mathematics

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is `tan^(-1) sqrt(2)`

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Solution

Let θ be the semi-vertical angle of the cone.

Concept: Maxima and Minima
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Chapter 6: Application of Derivatives [Page 233]
Q 25
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NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 25 | Page 233
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