A uniform electric field $3\mathrm{.}58{10}^6\frac{N}{C}$ directed downward was created in oil of density $0\mathrm{.}806\frac{g}{c}{m}^3.$ A charged sphere of radius $5\mathrm{.}00mm$ and density $8\mathrm{.}56\frac{g}{c}{m}^3$ is placed in the oil. What is the charge of this sphere if it remains at rest?

$-11\mathrm{.}1nC$

$11\mathrm{.}1nC$

$16\mathrm{.}7nC$

$-5\mathrm{.}56nC$

$5\mathrm{.}56nC$