Q. 153.6( 30 Votes )

# A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 11 cm. It is drawn out into a wire of diameter 1 mm. What will be the length of the wire so obtained?

Answer :

It is given in the question that,

Diameter of the wire = 1cm

Hence,

Radius of the wire = 0.5 cm

Length or the height of the wire = 11 cm

Hence,

The volume of the wire =

=

= 8.643 cm^{3}

Now,

We know that,

The volumes of both the cylinders would be the same.

And,

Diameter of the new wire = 1mm = 0.1 cm

Radius = 0.05cm

Therefore the new length of the wire would be =

=

= 1100.02 cm

= 11 m

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