Existence of a mass-volume astronomical chart?
Something like this?

https://arxiv.org/abs/astro-ph/9608168

But you can do literature search about the topic using NASA ADS for example, or astro-ph arxiv. They are pretty comprehensive databases of papers from astronomy/astrophysics field. If you dont find anything there you are pretty sure that no one did it. If you do find some results there (and I know for a fact that mass-size diagrams are explored/created for galaxies, clusters, etc) it might shed some light on your problem as well.

NASA ADS:
http://adsabs.harvard.edu/abstract_service.html

astro-ph arXiv:
https://arxiv.org/archive/astro-ph