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.

7 views

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.

+1 vote
selected ago by

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.