Question

metallic spheres of radii 6cm,8cm and 10cm are melted to form a single solid sphere.find the radii of resilting sphere.
Please give the answer​

Answer 1

Answer:

12 cm

Step-by-step explanation:

Let the required radius be 'R'. Volume of sphere is given by (4/3) πr³, where r is radius.

No matter what we transform, volume will remain same(conserved). So,

Volume of 6cm sphere + 8cm sphere + 10cm sphere = volume of resulting sphere.

=> (4/3)π(6)³ + (4/3)π(8)³ + (4/3)π(10)³ = (4/3)πR³

=> (4/3)π[6³ + 8³ + 10³] = (4/3)π * R³

=> 6³ + 8³ + 10³ = R³

=> 216 + 512 + 1000 = R³

=> 1728 = R³

=> 12³ = R³

=> 12 = R = radius of resulting sphere.

Answer 2

Answer:

12 CM radii of resilting sphere