If h is the height of the cone, show that the volume of the cone in termsof h is given by V=\frac{\pi}{3}\left(48 h^{2}-h^{3}\right) Using calculus determine the value of h that maximises the volume ofthe cone Using calculus methods show that the value you have obtained in (ii) is a maximum Determine the radius of the base and the volume of the cone.

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