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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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Let the radius of the resulting sphere be ‘r’ cm. 

(i) Volume of 3 spheres having radii 8 cm and 10 cm.

(i) Volume of the resulting Sphere, V

∴ Volume of the resulting sphere = Volume of three spheres

∴ Radius of the resulting sphere is 12 cm.

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