A thin metallic spherical shell of radius $50$ cm has a total charge of $4\mathrm{.}0C$ placed on it$.$ At the center of the shell is placed a point charge of $2\mathrm{.}00C.$ What is the electric field at a distance of $90$ cm from the center of the spherical shell?

Multiple Choice

$6\mathrm{.}7{10}^4\frac{N}{C}$ outward

$8\mathrm{.}8{10}^4\frac{N}{C}$ outward

$2\mathrm{.}7{10}^3\frac{N}{C}$ inward

$4\mathrm{.}4{10}^4\frac{N}{C}$ outward

$6\mathrm{.}7{10}^4\frac{N}{C}$ inward