Re suitability for FH-MC12 (Alivio) rear hub, we had info that a 15mm deep cone was the correct item, but our experience has been that this 9mm deep cone works best. If you need to replace a 15mm deep cone on a FH-MC12 then you could use this cone with the addition of 6mm of axle spacers.
Re suitability for FH-M563, it's not a Shimano listed match but we've done it successfully in the workshop.
Re suitability for FH-M760, when the part number Y3AE03100 (FH-M760 cone) was discontinued, we compared our remaining stock of it with the FH-M510 cone and could see no difference.
We recommend always replacing the balls when servicing a hub or replacing cones.
A hub that uses this cone will use 1/4" balls x 18 (9 per side).
We recommend using Grade 25 balls (high quality balls) with these cones.
You can use the links on the right to go directly to the recommended balls - either individually or in the relatively economical pack of 100.