$11$ Electric charge is uniformly distributed inside a nonconducting sphere of radius $0\mathrm{.}30$ m $.$ The electric field at a point $\backslash ($ P $\backslash ),$ which is $0\mathrm{.}50$ m from the center of the sphere, is $\backslash (15,000\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$C$\}\backslash )$ and is directed radially outward. What is the maximum magnitude of the electric field due to this sphere?

$42,000$ N$/$C

$36,000$ N$/$C

$30,000$ N$/$C

$25,000$ N$/$C