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.
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.
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Answer:
the thickness of the wire is 2 cm
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
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