a copper rod of radius 1 cm and length 2 cm, is converted in 18 cm long circular wire. find the thickness of wire.
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Answer:
Given:
Radius of copper rod, r
1
=1 cm
Length of copper rod, l
1
=2 cm
Length of wire, l
2
=18 m
To find:
Thickness of wire, t
2
Both the copper rod and wire are cylinders.
Volume of a cylinder of radius r and length l is given by: V=πr
2
l
Volume of copper rod is equal to the volume of wire as density and mass of the material does not change.
V
1
=V
2
πr
1
2
l
1
=πr
2
2
l
2
r
2
=
l
2
r
1
2
l
1
r
2
=
18×100
1
2
×2
r
2
=
30
1
cm
Thickness of the wire is equal to the diameter which is twice the radius
t
2
=2r
2
=
15
1
cm
Step-by-step explanation:
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