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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 is one-third that of the cone and the greatest volume of cylinder is `4/(27)pih^3tan^2alphadot`

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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)pih^3tan^2alphadot

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Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

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The radius of cylinder of maximum volumne which can be inscribed in a right circular cone of radius R and height H ( axis of cylinder and cone are same ) is given by

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RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-High Level Problems (HLP)
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