Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height $h$ and semi vertical, angle $\alpha$ is one-third that of the cone and the greatest volume of cylinder is $\cfrac{4}{{27}}\pi {h^3}{\tan ^2}a.$
Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height $h$ and semi vertical, angle $\alpha$ is one-third that of the cone and the greatest volume of cylinder is $\cfrac{4}{{27}}\pi {h^3}{\tan ^2}a.$
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Refer Practice Questions, Q.No. 69
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