#It depends on where the point of *silence* was placed

*Silence* requires you to center the spell on a:
>point you choose within range

How *Resilient Sphere* works is dependent upon where that point is.

##If the point is inside the sphere, the wizard is silenced.
The point is within the *resilient sphere* and therefore the sphere wouldn't be able to stop the spell effects because it's already inside.

##If the point is outside, the wizard is no longer silenced.
*Resilient Sphere* states:
>Nothing--not physical objects, energy, or other spell effects--can pass through the barrier, in or out, though a creature in the sphere can breathe there. 

If the spell effect's point of origin is outside (or the wizard is outside the range of it), the sphere actively prevents spell effects from passing through. The inside of the sphere would be a safe bubble from *silence*.