2. 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.
According to question, small spheres are melted and converted into a bigger sphere. Thus the sum of their volume is equal to the volume of the bigger sphere.
The volume of 3 small spheres = Volume of bigger sphere
Let us assume the radius of the bigger sphere is r.
Hence the radius of the sphere obtained is 12 cm.