I created a cup in Autodesk Inventor using lathe/rotation, ie I defined the profile and rotated it around an axis. I measured it's volume. By using Patch and Sculpt I filled the inner volume(which would be water) and measured the whole volume. Then I subtracted the cup's volume from the cup volume + water volume and I got the water volume.
In my case 128 ml.
I want to have 250 ml inner volume.
Can I achieve this by multiplying every length with 1.953125?
How and using which factor do I scale my profile uniformly to finally have 250 ml filling volume?
Is the shape a cylinder?
Seems like, if it was, you could say:
$V_{d}$ is the volume desired of $250$ml and $V_{c}$ is the current volume, $128$ml. Then from the volume of a cylinder, for each case, you could write the ratio as: $$\frac{V_{d}}{V_{c}}=\frac{h_{d}d^{2}_{d}}{h_{c}d^{2}_{c}},$$ where $d$ and $h$ are the diameter and height of the two cylinders, current and desired. So, then scale the height by $\frac{V_{d}}{V_{c}}=\frac{h_{d}}{h_{c}}=1.953$ or the diameter by $\frac{d_{d}}{d_{c}}=\sqrt{\frac{V_{d}}{V_{c}}}=\sqrt{1.953}=1.398.$
Hope this helps some. Sorry if this isn't exactly what you're looking for.
Cheers,
Paul Safier