Heyo boyos and girls,

First off, I sincerely apologize if this has already been asked. I've been Googling a bit and can't seem to find an answer, and I'm like 99% sure that's because I'm using the wrong terminology.

All I'm trying to do is a make cavity in a part to hold another part. The example I've attached is a very simplified and basic rundown of what I'm trying to do and what happens. What I'd like is for that tube to simply cutout the profile of itself in the block so you could set it down inside of it. But when I use the cavity command, you can see that it just cuts where the part is and the hollow part of the tube remains in the block.

Now, I understand in this case that it would be extremely easy to just do a revolve cut in the block to get the "nest" I need, but what about for more complex parts? Like some hand tools with lots of weird shapes and profiles and what not? Especially the plastic ones with lots of hollow parts inside of them. Is there a secret feature somewhere I'm missing, or are my only options offsetting the part geometry myself or going into the part itself and removing all the hollow aspects of it?

It seems like there would be a feature for this, and I'm guessing I'm glancing right over it.