hei brent
Been into engineering long enough to remember pre-cad.....
In similar situations i dealt with when i was into aeronautic engineering, you'd simplify the shape into easy to calculate volumes like cones, cylinders, balls, etc. and make approximations. Think about measuring a flat surface by breaking it into several big and small rectangles and you'll get the idea.
I built in the past the heads of a G50, CB500/4 and the GPZ in CAD, but even then it's all approximate unless you send the heads for 3D scanning. Compared to measuring with a pipette, i got within 5% of the actual volume.