Question

An iron rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness. Find the thickness of the wire?

Answer 1

Answer:

The volume of the rod = π×(21)2×8=2π cm3

The length of the new wire of the same volume = 18 m = 1800 cm

If r is the radius ( in cm ) of cross-section of the wire, its voume = π×r2×1800 cm3

Therefore,

π×r2×1800=2π

r2=9001

r=301

So, the diameter of the cross section, i.e., the thickness of the wire is 151 cm, i.e., 0.67 mm(approx.)

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Answer 2

Answer:

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.

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ANSWER

The volume of the rod = π×(

2

1

)

2

×8=2π cm

3

The length of the new wire of the same volume = 18 m = 1800 cm

If r is the radius ( in cm ) of cross-section of the wire, its voume = π×r

2

×1800 cm

3

Therefore,

π×r

2

×1800=2π

r

2

=

900

1

r=

30

1

So, the diameter of the cross section, i.e., the thickness of the wire is

15

1

cm, i.e., 0.67 mm (approx.)

Step-by-step explanation:

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