Future weapons designers at Tennesee Tech built a working (somewhat) prototype Gatling gun in 2007.  In the end, it doesn't seem to get much paint on target, but these guys get an "A" for effort.  Actually they did get an "A" on the project.  Dubbed the "PaintMaster", the gun went from design to prototype in 15 weeks.  Getting future engineers interested in a problem is key to a solution, and what young college kid wouldn't be interested in a paintball Gatling gun?  Now if we could just make global warming into an interesting subject.