A right circular cone is inscribed in a sphere of radius
MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A right circular cone is inscribed in a sphere of radius 6. The vertex of the cone is at the top of the sphere, and the base of the cone lies in a plane parallel to the sphere’s equatorial plane.
What is the height of the cone, in units, that produces the maximum possible cone volume?
(a) 6
(b) 8
(c) 9
(d) 4