A golf ball has diameter of 4.1 cm. Its surface has 150 dimples each of radius 2mm. Calculate total surface area which is exposed to the surroundings assuming the dimples are hemispherical. Take π=3.14159
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Answer:
20865.843 cm sq
Step-by-step explanation:
Surface area of golf ball = TSA of Sphere + TSA of 150 dimples
SA = 4 × pi × 410mm^2 + 150 × 3 × pi × 2mm^2
= 4 × pi × 168100 + 150 × 3 × pi × 4
= 662400 × pi + 150 × 12 × pi
= 662400 × pi + 1800 × pi
= pi × ( 662400 +1800 )
= pi × 664200
= 3.14159 × 624200
= 2086584.3 mm sq
= 20865.843 cm sq ( 1 cm sq = 100 mm sq )
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