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# The height of the cone of maximum volume inscribed in a sphere of radius R is :

$\begin {array} {1 1} (1)\;\frac{R}{3} & \quad (2)\;\frac{2R}{3} \\ (3)\;\frac{4R}{3} & \quad (4)\;\frac{4R}{\sqrt 3} \end {array}$

$(3)\;\frac{4R}{3}$