I would push a bar of the correct diameter in some sand and cast as normal. Copper tends to react with oxides so casting into any pipe needs to be done with the pipe very clean, and don't stand over the pipe when casting. Once poured, cover the top of the copper with coal dust, otherwise it "boils". Sand mix:
3% water
10% bentonite (from beauty shop-face mask)
5%coal dust
5%starch (cake flour)
rem sand
With such a simple mould you'll probably get away with 3% water and 10% starch (rem sand)
I'm surprised copper isn't cast more often, a number of the older models had copper chimney stacks…
![copper chimney cap.jpg copper chimney cap.jpg](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)