Question

Three spheres with radius 6 cm, 8 cm and 10 cm respectively are melted and a large sphere is recasted. Find the radius of this sphere.

Answer 1

Given

Radius of I^st sphere (r₁) = 6 cm

Radius of II^nd sphere (r₂) = 8 cm

Radius of III^rd sphere (r₃) 10 cm

Let the radius of the sphere recasted be R.

Since, by melting three given sphere into larger sphere is recasted

∴ Volume of sphere recasted = sum of volumes of three spheres

Hence radius of sphere recasted = 12 cm