Prove that the altitude of the right circular cone of maximum volume t – InterviewSolution

1.	Prove that the altitude of the right circular cone of maximum volume that can be inscribed 8 in a sphere of radius r is 4r3. Also show that the maximum volume of the cone is 827 of the volume of the sphere.
Answer» Prove that the altitude of the right circular cone of maximum volume that can be inscribed 8 in a sphere of radius r is $\frac{4 r}{3}$ . Also show that the maximum volume of the cone is $\frac{8}{27}$ of the volume of the sphere.

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