Software to find the common volume of intersecting cylinders?

I would like to find the common volume between cylinders for different radii and at different angles (3-D). Can I do this using ANSYS design modeller? Or what can I use (preferably a free download for a student please) and how long would it take to compute one solution?

I essentially would like to create a lookup table for the common volume between different cylinders that look like this for example. Thank you for your help!

• This sounds like something you could do with Excel? If you really want to work in 3D space, any software that can do boolean operations will work - Fusion 360 springs to mind re: free for students. – Jonathan R Swift Jul 10 '19 at 10:33
• Sorry I am quite new to all of this, how would you do it on Excel? – 657933 Jul 10 '19 at 13:03
• The volume of a standard Tricylinder is $V=8(2-\sqrt{2})r^3$ - you can calculate the formulae for other situations using relatively basic maths. Can you provide some diagrams/images showing what sort of shapes you're actually looking at? – Jonathan R Swift Jul 10 '19 at 19:16
• N.B. If you go the Excel route, this would be better suited at the Math Stack Exchange - if you stay here, you're at risk of being too vague - software recommendation isn't really our 'thing', I'm afraid – Jonathan R Swift Jul 10 '19 at 19:17
• Thank you, I have added a picture now above. Ah I have looked at formula but for the different radii and different angles, it gets quite complicated so I think I will need a design software so I can find the volume for particular cases as I cannot find a general solution. Would this best be done using fusion? Thank you! – 657933 Jul 10 '19 at 19:21