I'm going to cc the head tonight. How does one calculate the compression ratio with that info?
If you had left the head installed on the engine it would be more accurate and easier to calculate the compression ratio as it would take into account many things that you must now calculate if you want the correct compression ratio for your particular engine; such as the bore and stroke, the volume of an irregular shaped head gasket while under compression and the deck height or in other words the distance that the piston may or may not rise above the block gasket surface at Top Dead Center.
But, with head off you can get pretty close except you might have difficulty determining the volume of the head gasket since it is an irregular shape and even though an old gasket is flatter than a new one of like kind, it's not in its compressed state, exactly, once it's been removed.
First, determine the volume of your cylinder head's combustion chamber in cc's. Next determine the volume of your head gasket in cc's. Take these amounts in cc's and convert them to cubic inches by multiplying by .0610237. If you don't do this then you will have to convert the following calculated volume totals to cc's.
Next determine the volume of your cylinder by multiplying 1/2 of the bore diameter in inches times itself or in other words the radius squared. Take the answer and multiply it by 3.1415927 or in other words pi. Take the answer and multiply it by the stroke in inches.
Next, use the figure obtained above from multiplying 1/2 the bore diameter times itself times pi and multiply that number by the distance that your piston rises above the block surface at TDC. This will be the volume that is occupied by that part of the piston as it rises up in the combustion chamber.
It is possible that your piston may be flush or even with the top of the block but not likely unless the engine rebuilder who last rebuilt the engine made it that way. Moreover, it is also possible but highly unlikely that your piston comes out slightly below the block surface. In fact, there's almost a guarantee that your piston rises above the block surface because when the engine was brand new, using original length pistons, they rose above the block .031". In addition, if still using original length pistons, there's a good chance that your piston will be higher than .031" since most blocks have been resurfaced a time or two or three or .....? The volume of the area occupied by the piston above the deck is shown in the calculation below at a height of .045".
Also, if you really want to fine tune it then determine the volume of the area occupied by the valves as they sit above (or maybe below) the deck when they are closed. This amount generally would not be much on most Model A's, maybe a cc or two, but it would still add a tiny bit to the accuracy.
Now lets show an example of a slightly hopped up Model A engine with a standard bore and stroke of 3 7/8 x 4.25 and a guess at the gasket volume while under compression using the following figures:
Combustion chamber volume = 130cc = 7.93 cubic inches
Gasket volume = 18 cc = 1.10 cubic inches
Volume of the cylinder w/standard bore/standard stroke = 50.12 cubic inches
Volume of the area occupied by the piston above the deck @ .045" = .531 cubic inches
7.93 + 1.10 + 50.12 - .531 = 58.619 cubic inches
7.93 + 1.10 - .531 = 8.499 cubic inches
58.619/8.499 = 6.9 to 1 compression ratio