Relationship between given width of a tire and actual height
In bicycle tires the height and width are directly related. This is because unlike unlike car and motorcycle tires, the cords that hold the tire together are aligned diagonal and the resulting fabric stretches to round shape when inflated. The tube does not have anything to do with it, because it expands to fill all available space. If you have a piece of non stretchy fabric like a flannel shirt at hand, you can try stretching different directions to see how it works.

Tires that have thick tread are taller than fully round tube shape would be, because tread is outside of the fabric.