Question 424149
Solution:Since the edge of cube is 9 cm this will be the altitude of the cone. 
         The radius of circular cone will be 9:2=4.5 cm.

  The volume of cone is given by formula:  {{{V=(1/3)*(pi)*R^2*H}}}, where R is the radius and H the altitude of cone. Since we are asked for the largest cone, its volume must be equal or less than the volume of cube. We write:

     {{{ (1/3)*(pi)*(4.5)^2*(9)}}}=

      {{{(1/3)*(pi)*20.25*9}}}=

         V={{{60.75(pi) cm^3}}}