A sphere of radius $R_1=0\mathrm{.}340m$ and uniform charge density

$-43\mathrm{.}5\frac{C}{m^3}$ lies at the center of a neutral, spherical,

conducting shell of inner and outer radii $R_2=0\mathrm{.}558m$ and

$R_3=0\mathrm{.}770m,$ respectively. Find the surface charge density

on the inner and outer surfaces of the shell.

inner surface charge density:

$\frac{C}{m^2}$

outer surface charge density:

$\frac{C}{m^2}$