a cone is circumscribed to a sphere of radius r show that volume of the cone is minimum if - Maths - Application of Derivatives

Question

a cone is circumscribed to a sphere of radius r show that volume
of the cone is minimum if its altitude is 4r and its semivertical
angle is sin inverse 1/3

Vipin Verma · Accepted Answer

Let the sphere of radius be a , cone radius be r and height be h Here the triangle ABC , right angled at C and ADE is right angled at D Both are similar triangle

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a cone is circumscribed to a sphere of radius r. show that volume of the cone is minimum if its altitude is 4r and its semivertical angle is sin inverse 1/3