How to trim this cylinder where it meets a box I have a box that I have extruded to the shape I want. Then I placed a cylinder so that it intersects the box. After that I deleted the bottom faces of both the cylinder and box.

Now what I want to do is delete the portion of the cylinder that is inside the box and join the nodes so that it is one object. I have already joined the meshes so I can select points/edges/faces from either shape. It seems like the easiest way would be to just put nodes where the edges of the cylinder and box intersect and then delete the parts I don't care about. I can't find a good way to do that though.

What's the best way to accomplish what I'm trying to do?
The Boolean is less destructive, but for a one-off, leaving more options in some cases:


Object Mode, CtrlJ combine the components if not already one object.
Edit Mode, all selected CtrlF Face Menu > Intersect (Knife)
Adjust Last Operation panel > Self Intersect


Followed by removing the faces you don't want, and AltM merging the selection of vertices you want to, By Distance.