The knock spell has a verbal spell component and states:
[...] When you cast the spell, a loud knock, audible from as far away as 300 feet, emanates from the target object [...]
I'm wondering if you can get around this loud noise by casting the silence spell, which states:
For the duration, no sound can be created within or pass through a 20-foot-radius sphere centered on a point you choose within range. Any creature or object entirely inside the sphere is immune to thunder damage, and creatures are deafened while entirely inside it. Casting a spell that includes a verbal component is impossible there.
You would ordinarily not be able to cast knock as it has a verbal component, but the Sorcerer's Subtle Spell Metamagic states:
When you cast a spell, you can spend 1 sorcery point to cast it without any somatic or verbal components.
So could a Sorcerer cast silence and then a Subtle Spell knock? Do these all combine thus letting you cast knock without the loud noise being created, or is there some interaction or rule I've overlooked? Does this scenario actually work?