I used a cylinder calculator and came up with 22,781 cubic feet.
Correct.
Now we look at the list. There were 2 fuel tanks the larger held almost 80,000 gallons the other just over 6,000. The fuel alone takes up 11,417.52 Cubic feet of space.
His figures are fairly off, but his volume is similar to what I calculated.
That's not counting the tanks to hold the fuel or the lines and pumps to move it.
Er, what? Once you put the fuel in, there's no room left for the fuel?
Remember it's already more than ½ full even if you just literally poured the fuel in the rocket.
Um, yes, that's how it works. A bit over half the volume of the stage is taken up by fuel. That leaves a bit less than half the volume for lines and pumps and engines and stuff.