Here's how you double-check your number, with either acid or chlorine. This is assuming you have one of the two TFP-recommended test kits.
You measure pH. You enter the pH test result and your new volume number into
PoolMath and determine the amount of acid to add to correct your pH. You then add that amount of acid, with the pump running, of course, and let it mix in for 30-60 minutes or so. Then test the pH again. If the new result is the expected number, based on what Pool Math advised you to add, then your volume number is good. If your pH is lower or higher than it should be, then your volume number is suspect. Pool Math uses your TA test result to calculate pH (and borates, too, if you use any), so you want to have a relatively recent test result for that plugged in to
PoolMath while you're doing this process.
You adjust your volume number accordingly, and repeat this process every time your pool needs acid, until your testing and dosing and retesting are reconciling correctly.
You can do the same thing with FC and chlorine, though after sunset, so you can eliminate the sun burning off chlorine from the process. You should also perform the CC test, and even a
Overnight Chlorine Loss Test, to confirm there is nothing organic in your water consuming chlorine.
The trick is to retest as soon after dosing as you're sure the chemical is well mixed in with your water, to take what the pool is naturally consuming out of the equation. And no need to be fanatical about it, just record your testing and dosing and retesting for a while, each time your pool needs a chemical, and eventually you'll see a trend that will indicate how accurate your volume number is.