4pr2 p being pi r being the radius. Then I guess you'd need to take into account all the area added by the dimples. Not sure about getting an exact, but would be interested to know. Do the dimples add or subtract from the surface area? I would guess it adds.
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Surface area of the ball = 4*pi*342 = 4624*pi square mm
Surface area of a sphere = 4*pi*radius2
Surface area of a ball or sphere = 4*pi*radius2
to find the surface area you have to first find the area of each part then add the areas together.
Surface area = 4*pi*162 = 3216.990877 or about 3217 cubic cm