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9 December, 09:02

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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  1. 9 December, 09:15
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    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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