Question

Q.6 Single Cho
The diameter of a copper sphere is 12 cm. If it is drawn
into a wire of diameter 0.6 cm, then the length of the
wire is​

Answer 1

Step-by-step explanation:

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' =n

3

4

πr

3

As the diameter of the sphere is 6 cm, its radius r =3 cm

Volume of a cylinder of radius "R" and height "h" =πR

2

h

Radius of the wire

2

0.2

=0.1cm

Hence, Volume of sphere = Volume of the wire

3

4

πr

3

=πR

2

h

3

4

π×3

3

=π×0.1

2

×h

h=3600cm

Hence, length of the wire =3600cm