Q. 35

# A copper rod of d

Given: A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness.
To find: the thickness of the wire.
Solution:
Diameter of copper wire =1 cm

Height of copper rod =Length of copper rod =8 cm

Volume of rod

Let the radius of wire be ‘r’ cm

As 1 m = 100 cm

length of the wire=Height of the wire =18 m =1800 cm
As rod is converted into wire,
Therefore,

Volume of cylinder wire = Volume of cylindrical rod

⇒ r = 0.033 cm
Hence thickness of the wire is 0.033 cm.

r2

r cm

r = 1/3 mm

Diameter of cross section = (1/3) × 2 mm

= 0.67 mm

NOTE: When one figure is converted into another figure,
the volume of two figures remain same.

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