Calculate the required energy to create a butt weld between two $1015$ steel cylindrical beams. Both cylinders have a diameter $\backslash ((\backslash$phi$)=0\mathrm{.}53\backslash )$ in$.$ Because of design requirements this weld needs to have at least a penetration of $0\mathrm{.}217$ in $,$ and it also needs to have a width of at least $0\mathrm{.}13$ in$.$ Knowing that the melting temperature for this steel is $\backslash (2700^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash ).$ Calculate the welding required for this weld in Btu. $-$ Answer with $2$ decimal places.