An engineering student has modelled a truncated cone in CAD software by rotating the coloured area about the x-axis. The y-coordinate can be described by the equation g ( x ) = x 3 + 1 and the cup has constant density rho = 250 k g m 3 . The cone has dimensions h = 1 m and l = 3 m . Determine the cone's radius of gyration about the x-axis.