Yep, although that HD6350 card generally comes with only a low-profile bracket so would only fit the SFF case, not the desktop or minitower which can even accept full-height cards (those do fit low-profile cards too but only with a full-height bracket). It is also woefully underpowered, far below the minimum system requirements for those two games.
I would suggest something a bit faster like the GT740 or any Kepler GT640 (avoid Fermi models), which do just meet the minimum requirements. You do know you don't have to buy a Dell graphics card, right?
You haven't said yet if you have a G31 chipset, which would allow you to install 8GB and see it, but not use it. Well I used to use ramdisk software in XP and Win7 that would let you put the pagefile in RAM above 3.25GB, but I never did find any free software that let you do the same in Windows 8 or 10.