Consider a thin, spherical shell of radius $12\mathrm{.}0$ cm with a total charge of $31\mathrm{.}6$C distributed uniformly on its surface.

$($a$)$ Find the electric field $10\mathrm{.}0$ cm from the center of the charge distribution.

magnitude$$ MN$/$Cdirection$---$Select$---$radially inward$$radially outward$$the electric field is zero

$($b$)$ Find the electric field $24\mathrm{.}0$ cm from the center of the charge distribution.

magnitude$$ MN$/$Cdirection$---$Select$---$radially inward$$radially outward$$the electric field is zero