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.

Question

Philoid · Accepted Answer

Given,

The radius (r₁) of 1^st sphere = 6 cm

Radius of 2^nd sphere (r₂) = 8 cm and

Radius f third sphere (r₃) = 10 cm

Let the radius of the resulting sphere be R;

So now we have,

Volume of resulting sphere = Volume of three metallic spheres

⇒ πR³ =

⇒πR³ =

⇒ R³ = 216 + 512 + 1000

⇒ R³ = 1728

⇒R =

R = 12 cm

So, the radius of the resulting sphere is 12cm.