Q. 353.5( 19 Votes )

Answer :

**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

Radius 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 cmlength 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

As radius cannot be negative,

⇒ r = 0.033 cm

Hence thickness of the wire is 0.033 cm.

⇒ r^{2}

⇒ r cm

⇒ r = 1/3 mm

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

= 0.67 mm

the volume of two figures remain same.

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