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A Golf Ball Has Diameter Equal to 4.2 Cm. Its Surface Has 200 Dimples Each of Radius 2 Mm. Calculate the Total Surface Area Which is Exposed to the Surroundings - Mathematics

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प्रश्न

A golf ball has diameter equal to 4.2 cm. Its surface has 200 dimples each of radius 2 mm. Calculate the total surface area which is exposed to the surroundings assuming that the dimples are hemispherical.

संक्षेप में उत्तर

उत्तर

Surface area of ball

`=4pir^2`

`=4pi (4.2 /2)^2`

`= 17.64 pi cm^2`

Total surface area exposed

SA of ball `- 200 (pir^2 - (4pir^2)/2)`

`=17.64 pi - 200 pir^2`

`=17.64 pi -8pi`

`= 80.5 cm^2`

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अध्याय 14: Surface Areas and Volumes - Exercise 14.3 [पृष्ठ ८४]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 14 Surface Areas and Volumes
Exercise 14.3 | Q 57 | पृष्ठ ८४

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