The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of diameter 0.2 cm. Find the length of the wire
Answers
Answer:
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
Answer:
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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