A cone of maximum volume is inscribed in a given sphere. Then prove that ratio of the height of the…
Mathematics20256 marksDerivation
A cone of maximum volume is inscribed in a given sphere. Then prove that ratio of the height of the cone to the diameter of the sphere is equal to $\frac{2}{3}$. [Application]
To show: \text{Ratio of height of cone to diameter of sphere} = \frac{2}{3}