Lacking anything like enough information the "Standard" rule of thumb is that 0.5L will give you 15Million cells/mL in 1HL (Hectolitre).
That is for very fresh yeast from the cone of a CCV. The trub would have been dropped once or twice before the yeast for repitching was collected. Meaning pretty clean yeast and in really good condition
Standard assumptions are that yeast kept under water is to be used in a couple of days, under wort (~1.020-30) within a week or two if kept very cold... Call it well looked after.
Applying the standard pitching rate for Ale yeast 0.6-1Million cells/mL/oP
If you are pitching into a 1.050 wort (12.5oP) that was say 25L, and chose to pitch at say 1*10^6 cells/mL
You need
1*10^6 X 25,000 X 12.5 = 312,500,000,000 cells (3.125*10^11) (312.5 Billion)
From the standard 500ml will give you 100L (100,000mL) at 15million/ml.
500mL = 100,000 X 15*10^6 = 1.5*10^11/500 = 3*10^9 cells/mL
As you need 3.125*10^11
3.125*10^11/3*10^9 = 104mL
That’s at the top end of the ale pitching range
Nice in theory, I would be much more inclined to make a starter, I don’t really trust yeast that’s been stored for any length of time both from a hygiene point and yeast population/vitality to.
If you acid washed one of your slabs, then pitched it into a well aerated starter I suspect you would get better and more consistent results.
Mark
PS
Just doing the numbers of the top of my head, if I have made any obvious mistakes someone will point them out, i'm sure.
M