How does Resilient sphere (cast via contingency) interact with an existing Silence spell?

I have a situation in my 5E campaign where the party cast a silence spell to sneak up on a sleeping wizard (super effective). The wizard was then rudely woken and beaten up to the point where his contingency spell of Resilient sphere was triggered.

The question is, does the resilient sphere block the effects of the silence spell on the wizard now that it exists? Is he free to cast self-range spells with verbal components and get out of this horrible situation, or is he still silenced unless he can find another way to negate the effect?