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A golf ball has diameter equal to 4.1 cm...

A golf ball has diameter equal to 4.1 cm. Its surface has 150 dimples each of radius 2 mm. Calculate totals area which is exposed to the surrounding assuming that the dimples are hemispherical.

Text Solution

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Area of normal ball=`4pi(4.1/2)^2`
`=16.81picm^2`
Area of 1 dimple=`2pir^2`
`=2*pi*(2/10)^2=2pi/25`
Area of 150 dimple=`150*2/25*pi=12picm^2`
Area of ball=`1681pi+12pi-6pi`
`=22.8picm^2`.
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