A steel $[$E $=110$ GPa$]$ rod with a length of L $=3\mathrm{.}2$ m is carrying an axial tensile force of P $=89$ kN$.$ What is the minimum required diameter of the rod if the axial elongation of the rod is limited to $\backslash$delta max $=19$ mm$?$

$13\mathrm{.}17$ mm

$25\mathrm{.}98$ mm

$16\mathrm{.}15$ mm

$8\mathrm{.}01$ mm

$14\mathrm{.}52$ mm