A golf ball has a diameter of 4.1 cm

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a golf ball has diameter equal to 4.1cm. Its surface has 150 dimples each of radius 2mm. Calculate total surface area exposed to the surrondings assuming that the dimples are hemispherical.

Answered by admin @


Total surface area without dimples = 4 x 22/7 x 2.05² = 52.83 cm²
Total area where the dimples are = 22/7 x 0.2² x 150 = 18.857 cm²

Area where there are no dimples = 52.83 - 18.857 = 33.973 cm²

Area of the dimples = 1/2 x 4 x 22/7 x 0.2² x 150 = 37.714 cm²

Surface area exposed to surroundings = Area with no dimples + area of dimples
= 33.973 + 37.714 = 71.687 cm²

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