(Solved): Shown in the figure is a point charge inside a spherical conducting shell with an inner radius \( \ ...

Shown in the figure is a point charge inside a spherical conducting shell with an inner radius \( \left(r_{1}\right) \) of \( 0.3 \) meters and an outer radius \( \left(r_{2}\right) \) of \( 0.7 \) meters. The point charge has a net charge of \( -30 \mathrm{nC} \) and the spherical conducting shell has a net charge of \( 55 \mathrm{nC} \). Calculate the surface charge density on the outer surface of the conducting shell in \( \mathrm{nC} / \mathrm{m}^{2} \). Enter your answer in units of \( \mathrm{nC} / \mathrm{m}^{2} \) rounding your final answer to two decimal places. If the surface charge density is negative, a negative value must be entered.