Question

Two metallic spheres of radii 6 cm and 8 cm are melted along with another sphere and made into a big sphere of radius 12 cm. Find the radius of the third sphere.

Answer 1

Radii of two metallic spheres 

= r₁ = 6 cm 

r = 8 cm 

Volume of the metallic spheres

⇒ 728 + x³ – 12³ 

⇒ x³ = 12³ – 728 = 1728 – 728

= 1000 cm 

⇒ x = 10 cm.