Show that height of the cylinder of grea...

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 `4/27 pi h^3 tan^2 alpha`

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Show that the 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 greatest volume of cylinder is 4/27pi h^3tan^2 alpha

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