Since all the heads including knuckles(normally considered arcs) have design parameters which you can easily find in the Perry chemical engineering handbook or from texts on pressure vessels, you can use the formula As=2*pie*r*s where As=surface area,r= perpendicular distance from the axis of revolution to the center of gravity,s=length of curve.You can then sum up the As's for the knuckle and head shape to get your info.
If you had Mechanics in college, it should not be hard to fing the center of gravities of arcs, ellipses and spherical shapes. It will take a little work even if you have a background in college engineering courses.
The suggestion above to get the surface area from a blank disk will put you in the ball park, however, it does not take into account the stretching of the metal during the forming process.