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Show that Semi-vertical Angle of Right Circular Cone of Given Surface Area and Maximum Volume Is `Sin^(-1) (1/3)` - CBSE (Commerce) Class 12 - Mathematics

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Question

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is  `Sin^(-1) (1/3)`

Solution

Let r be the radius, be the slant height and h be the height of the cone of given surface area, S.

Also, let α be the semi-vertical angle of the cone.

Then πrl πr2 

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 26 | Page no. 233
Solution Show that Semi-vertical Angle of Right Circular Cone of Given Surface Area and Maximum Volume Is `Sin^(-1) (1/3)` Concept: Maxima and Minima.
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