Question

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.​

Answer 1

Let the radius of the resulting sphere be r cm.

Then, the volume of the resulting sphere = Sum of the volumes of three sphere of radii 6cm,8cm and 10cm

⇒4/3 πr³ = 4/3 × π×(6³ + 8³ + 10³)

⇒r³ =216+512+1000

⇒r³ = 1728

⇒ r = ³√1728

⇒r=12cm