A right circular cone is inscribed in a sphere of radius such that the base of the…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A right circular cone is inscribed in a sphere of radius 6 cm6\text{ cm} such that the base of the cone lies on a plane through the center of the sphere and the vertex is on the surface of the sphere. Determine the height (in centimeters) of the cone that maximizes its volume.

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