As
@VikeMan said before, you may
not need to pitch more than what's in that foamy pint-size jar, without decanting that is:
237ml / 30ml/oz = ~8 fl. oz of slurry.
The pint jar in the picture you posted may well contain 8 oz of slurry once the foam had settled out. That amount should be plenty for the job. as others have said.
Coming straight from a brewery, it should be good, active yeast, with relatively low amounts of trub, yes!
No need to pitch more than that in 10-11 gallons of a 1.069 wort.
Just as important as the right pitch rate, the chilled wort needs to be oxygenated (or very thoroughly aerated, at minimum) before pitching the yeast. And if the yeast was stored in the fridge (as is recommended), make sure to bring it to room temps before pitching.