Hope this isn’t too late to help.
Select the base ring of the cone, then extrude.
Cntl R and create four loop cuts in the extruded cylinder.
Deselect all, then select the bottom three rings and extend down. That will make the base of the cone shape.
For the top of the cone, knife somewhere below the point to create an entire new ring. Keeping that ring selected, go to vertex select an alt right click to select the tip.
Then press S, then Z to restrict scale to the Z axis, and press 0 (Zero) That will flatten your top, and make everything below quads, so you can Cntl R and put rings where ever you want.
After that, bevel, instert or extrude however you want.
