The height of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius ‘a’ is

Volume of the right circular cylinderV=πr2h=πha2−h24 ∵a2=r2+h24=πa2h−h34 Differentiate with respect to ' h ' ⇒dvdh=πa2−3h24=0⇒h=2a3