So you’re just talking about the miters at the peak? I would make each cylinder a group or component and make sure it is solid (see the Entity Info panel) and then use the Solid Tools to trim one against the other. I expect for something like this you could get by with circles of 12 or maybe even 8 sides on these ridges which will help to reduce the file size and make it easier to work with the geometry.
How will you use the model once you’ve created it, though? Will you need to show how the tiles get cut or is this just representational?