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Q. 295.0( 1 Vote )

Prove that the se

Class 12th Mathematics - Board Papers Delhi-2014

Answer :

Let r ,h,l and θ be the radius ,height, slant height and semi-vertical angle of the cone respectively.

We know that ,volume of cone

⇒

Let S be the curved Surface area of cone.

⇒

⇒

⇒

⇒

⇒

⇒

Now ,

⇒

⇒

⇒

⇒

At ,

Hence, for , surface area is minimum.

Now,

⇒

⇒

⇒

⇒ cotθ = √2

⇒ θ = cot^-1(√2)

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