>shows an ISO 9660 File Access and an Apple CD-ROM extension are present.
... and Foreign File Access?
>How do I burn a CD in ISO 9660 format on my Mac Pro running 10.10.5? Step by step please.
Sorry, I am not using that operating system version, so cannot say which exact format is normally produced (or possible alternatives).
With a PC, ISO 9660 is a standard format. I have used various Linux machines to burn a data CD-R (not CD-RW), which then could be read in an old external Apple CD-ROM drive (for example, used with a PowerBook 540 under System 7.5.3) without a problem (CD only used for plain transfers of downloaded MacBinary-encoded files). Truncated names for the MacBinary files may appear, but that is usually not a problem, since these .bin files will be decoded/decompressed on the old Macintosh (the contained files have their original names).
However, to burn a CD that is supposed to be bootable in an old Macintosh computer is another matter, and entirely different methods (and special Mac programs) will have to be used.
>The Performa runs 7.6.1
Was this an update carried out earlier, or do you mean 7.6 (US or perhaps another version)?
>but does not start up on anything (system CD or floppy) holding the C key.
Holding the C key should normally work with a (bootable) system CD, but you could always try the four keys Command(Apple) + Option(Alt) + Shift + Delete(Backspace) instead.
An appropriate startup floppy in the floppy drive should boot the computer without the need for pressing any key(s). Since the Performa 6360 needs System 7.5.3 (plus a special system enabler) or higher, this means that a generic Disk Tools disk must be at least Mac OS 7.6.
I assume that the CD-ROM drive as such is OK (the lens is clean, and that is is capable of recognising/reading random factory-made CDs), and that the floppy drive can read floppies properly.
>I have a Performa Software CD vers.7.5.3
I guess that this is the original CD for this very machine, not for another Performa model.
Any change i you reset the PRAM? Even a bad logic board battery can sometimes, with some models, cause strange issues, including startup and video problems...