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The surface area of a sphere is 2464 cm2, find its volume. - Mathematics

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प्रश्न

The surface area of a sphere is 2464 cm2, find its volume. 

बेरीज
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उत्तर

Surface area of the sphere = 2464 cm2 

Let radius = r, then 

4πr2 = 2464 

`=> 4 xx 22/7 xx r^2 = 2464` 

`=> r^2 = (2462 xx 7)/(4 xx 22) = 196` 

`=>` r = 14 cm  

Volume = `4/3pir^3` 

∴ `4/3pir^3`

= `4/3 xx 22/7 xx 14 xx 14 xx 14`

= 11498.67 cm3

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