Sorry, I can't tell what kind of drive it is.
Please run DISCInfo ( http://discinfo.rpc1.org/ ), select your drive, and then save a report (File -> Save). Copy and paste the contents of the report into your post.
As for the 9300i/9310i, the latest available firmware is 1.0c, from 2000. It's an old drive, and they haven't released any new firmwares for it in eons. There are no firmware updates for the 9340i/9350i.