Problem: the inside dimensions of a rectangular wooden box are 4 meters by 5 meters by 6 meters . a cylindrical drum is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces . of all such drums that could be used , what is the volume , in cubic meters , of the one that has maximum volume ? 
Options: ['a ) 20 π', 'b ) 24 π', 'c ) 25 π', 'd ) 96 π', 'e ) 100 π']
c