I am aware that this might be a slightly unusual question, but just today I was wondering about the physical volume (meaning the capacity, NOT the loudness) of some musical instruments. In particular, I'd be interested in the string family - even though I know that, at least for viola and double bass, there might be fairly large discrepancies. Also, I'd mostly be interested in the volume of the body of the instrument (and yes, considering it is filled. So the air inside does count as part of the instrument).
For a violin and a viola I have found an estimate by violist Franz Zeyringer, stating the volumes to be around 1968cm³ and 3045cm³ respectively - the latter seeming oddly precise, given how much the length of a viola can vary. However, taking some quick measurements of my own violin, the first number seems very plausible.
Now, before I start approximating stuff with weird functions and throwing some multi-dimensional integrals around, does anyone here know anything or has run across something and knows where to find information about that topic?