Is it possible to Fillet a cylinder to a flat base?

I am working on a design that is similar shaped to a wine glass, to improve the strength of my connection point betweeen the stem and the base, I’d like to fillet the stem into the base, but I seem to be only able to fillet the base separately and then the post just meets on a flat plane at the center/top.

Thanks for any assistance.

Select the contact edge
Use Chamfer/Fillet
Pull the Double Arrow up and out:

I thought I had it figured out. Sometimes when I try this it just makes a tip on the end of the post.