Question 610699
The volume of a cube with side s is {{{ s^3 }}}. Hence find the side of the cube 
which is going to be {{{sqrt (27)= 3 }}}.
Hence a largest cylinder with base inscribed inside a cube will have the diameter 3 meters. and its maximum height will be the height of the cube. Hence in this case it is 3 meters. Hence the volume of a cylinder with the above parameters will be {{{(pi/4)*(d^2)* height }}} 
Hence volume is = {{{ (pi/4)*3*3*3}}} = {{{ (297/14) m^2}}}