First off, area is in square cm while distance is in cm. The radius of a nickel is 1.0605 cm, so using the famous formula pi x r2 for the area gives:
3.141593 x 1.06052 = 3.5332 cm2
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The curved surface area is 904.78cm2
Surface area of a sphere (the golfball) = 4*pi*radius2 square cm
Surface area = 4*pi*142 = 784pi square cm
The curved surface area is 301.6cm2
Surface Area = 4*pi*r2 = 6566.9 sq cm