People who are overweight and wish to lose weight, often do so because they are concerned about looking too big. Their increased size is attributed to an increased volume of fat.
When people try to lose weight however, they often quantify their goals in terms of weight, not volume.
So my question is, is the volume of an adipocyte cell always directly proportional to the weight of the fat stored within the cell?
If not, what factors would increase/decrease the size of the adipocyte cell for a given mass of stored fat?

In the cross section they are sometimes 10+ times larger. When you add depth to the equation there is quite a bit of range in the fat cell must be substantial.