Answer
Since the electric field at the surface of the sphere would be greater than $3.0~MV/m$, this situation could not actually occur.
Work Step by Step
We can find the strength of the electric field at the surface of the sphere:
$E = \frac{1}{4\pi~\epsilon_0}~\frac{q}{r^2}$
$E = \frac{1}{(4\pi)~(8.854\times 10{-12}~C/V~m)}~\frac{4.0\times 10^{-6}~C}{(0.10~m)^2}$
$E = 3.6~MV/m$
Since the electric field at the surface of the sphere would be greater than $3.0~MV/m$, this situation could not actually occur.
