Question

Metallic sphere of radii 3 cm, 4 em and 5 cm respectively are melted to form a single solid sphere
Find the radius of the resulting sphere
​

Answer 1

3 solid metallic spheres of radii 3cm ,4cm,5cm respectively are melted to form va single solid sphere .Find the diameter of the ... 2. See answers.

Answer 2

Answer:

Given:

Radius (r

1

) of first sphere =6 cm

Radius (r

2

) of second sphere =8 cm

Radius (r

3

) of third sphere=10 cm

Radius of the resulting sphere =r

The object formed by recasting these spheres will be same in volume as the sum of the voulmes of these spheres.

So, Volume of 3 spheres = Volume of resulting shape

3

4

π[r

1

3

+r

2

3

+r

3

3

]=

3

4

πr

3

⟹

3

4

π[6

3

+8

3

+10

3

]=

3

4

πr

3

⟹216+512+1000=r

3

⟹1728=r

3

r=12 cm

Therefore, the radius of sphere so formed will be 12 cm.