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The radii of the bases of two right c...

The radii of the bases of two right circular solid cones of same height are `r_1` and `r_2` respectively. The cones are melted and recast into a solid sphere of radius `R` . Show that the height of each cone is given by `h=(4R^3)/(r1 2+r2 2)`

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The correct Answer is:
`(4 R ^(3))/(r _(1) ^(2) + r _(2) ^(2)) `14
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