How to determine reasonable population density of a three-dimensional volume

I'm attempting to rough-estimate potential population density of three-dimensional megastructures in space. Assume a filled spherical volume (i.e. death star, not Dyson sphere), where all internal space is available. What would be a generally reasonable population-per-cubic-mile, assuming conventional transportation of resources (by which I mean no replicating food or teleporting out waste)? At what point would waste heat become a major concern for this structure in deep space? I'm currently just looking to land my estimate in the right order of magnitude, so perfect accuracy is less important.

Edit: It occurs to me that the estimate could also apply to large-scale arcologies on a planet, but I can't find that answer either, so consider that a potential alternate estimate method should you be more familiar with it.

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How to determine reasonable population density of a three-dimensional volume

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