Whenever a player casts an instant or sorcery spell from their hand,
Eye of the Storm triggers, exiling that spell.
Because
Deafening Silence prevents players from casting more than one noncreature spell each turn, players cannot cast an instant or sorcery spell permitted by
Eye of the Storm, or any other noncreature spell that turn.
Results
Exile all instant and sorcery spells cast from a player's hand.
Players can only cast one noncreature spell per turn.