So my bicone antenna is built wrong, I used a 55 degree angle in the cone, and its dimensions are about 14x28 inches (taller then wide).

I think the characteristic impedance is around 300 ohms. I have not solved its behavior past the characteristic impedance because the formulas provided by most documents I have require calculus and it does not use the same exact notation that I am familiar with, that is the equations are written in a way thats unclear for me in terms of how to derive or integrate things. I know how to solve DE and some basic MV calculus but I was kinda confused by the notations, I felt like I learned it with more elaboration on the setup. They seem 'gutted' to me.

It is built to be fed directly into a coaxial line.

It does look similar in dimensions to what would be considered appropriate for a balun fed bicone rather then a coaxial fed bicone.

There is a coaxial connector soldered into the bottom of one of the cones, and it is already nicely mechanically fashioned in a 'hour glass' type mechanism with fiber glass rods and acrylic bases.

However, I see that normal balun fed biconical antennas rely on the balun being placed between the cones sticking out in a T-shape.

Can a balun be placed in a metal cylinder equipped with a BNC connector and reside in the hollow part of the cone?

I was excited to built it and it looks good and it seemed to kinda work but I never tested it with a directivity bridge (like I have now). I am on vacation so I can't provide measurements but I might as well make the thread now.

Also, does anyone have like, verified equations to use to solve for actual impedance, that you have tried out and worked? I am not asking for a exact solution but just how it looks like when you do it properly.