SarahMaaz SarahMaaz

15-10-2017
Mathematics

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a solid of sphere of radius 'r' is melted and recast into the shape of a solid cone of height 'r,' .find the radius of cone

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yixuann yixuann

15-10-2017

vol of sphere =4/3πr³
let the radius of cone be x.
vol of cone =1/3πx²h
when h=r, =1/3πrx²
since they have the same volume,
4/3πr³=1/3πrx²
4πr³=πrx²
x²=4r²
x=2r (radius)

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