A solid sphere of radius $40\mathrm{.}0$ cm has a total positive charge of $23\mathrm{.}1$C uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances.

$($a$)0$ cm from the center of the sphere

$0$ kN$/$C

$($b$)10\mathrm{.}0$ cm from the center of the sphere

$324\mathrm{.}4$ kN$/$C

$($c$)40\mathrm{.}0$ cm from the center of the sphere

$1297\mathrm{.}9$ kN$/$C

$($d$)74\mathrm{.}5$ cm from the center of the sphere