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 cm3


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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