LOL, Mmmmm, It’s a real bodge and I’m trying to work out how to best describe the process, I hope this makes sense …

Start with a “solid” cylinder of the right size. Sketch one row the pattern you want to one side and extrude through the cylinder. Rotate the cylinder by an amount suitable to your pattern, I used 30° above, and extrude the pattern again.

Once you have filled the surface of the cylinder with the pattern sketch a circle using one of the ends as the plane, make the circle diameter equal to the cylinder plus the wanted height of the pattern. Draw another circle outside the first such that it is wider than the extruded pattern. Extrude this second circle away from the cylinder for a couple of millimeters, now extrude the first circle through the new body to create a hollow cylinder. Now extrude the face of this cylinder such that it removes the excess extruded pattern and leaving it with a curved surface.

Last but not least, draw another circle on the end of the solid cylinder and extrude it through to create a “hollow” cylinder.

As I said, I hope this makes sense, I can do it again and take screen shots if my explanation is incomprehensible.