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Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

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`V_1+V_2+V_3=V_R`
`4/3pi(r_1^3+r_2^3+r_3^3)=4/3piR^3`
`R^3=r_1^3+r_2^3+r_3^3`
`R^3=6^3+8^3+10^3`
`R^3=12^3`
`R=12cm`

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