Question

the diameter of a solid spherical metallic ball is 12 cm. if it is melted and drawn into a cylindrical wire of length 288 cm, find the thickness of the wire.​

Answer 1

Answer:

the thickness of the wire is 2 cm

Answer 2

Explanation:

72 m

The wire is in the shape of a cylinder.

Since the sphere is melted and a cylindrical wire is formed, their volumes are equal.

Volume of a sphere of radius 'r' =

3

4

πr

3

As the diameter of the sphere is 12 cm, its radius r =6 cm

Volume of a Cylinder of Radius "R" and height "h" $$ = \pi{ R }^{ 2 }h $$

Radius of the wire r=

5

1

cm

Hence, Volume of sphere = Volume of the wire

3

4

πr

3

=πR

2

h

3

4

×6

3

=(

5

1

)

2

h

=>h=7200cm=72m

hope it's helpful to you sis