Question

Metallic spheres of radius 6 cm, 8 cm and 10 cm respectively
are melted to form a single solid sphere. The radius of the resulting
sphere will be
[a] 12 cm [b] 8 cm [c] 10 cm [d] 6 cm​

Answer 1

Answer:

12

Step-by-step explanation:

It would the maximum value as it will expand by just some centimetres

Answer 2

(a) 12 cm

Step-by-step explanation:

let the radius of the resulting sphere be r cm

then the vol of the resulting sphere = sum of the vol of three sphere of radii 6cm,8cm,10cm

4/3 pi r3 = 4/3 pi ×6 cube + 4/3 pi × 8cube + 4/3 pi × 10 cube

r3 = 216 + 512 +1000

r3 = 1728

r3 = 12cube

r = 12cm