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A copper rod of diameter 1 cm and length...

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.

Text Solution

Verified by Experts

Note the volume of the material in both the shapes will be the same only.
Volume of rod1=volume of rod2
`pi(r_1)^2h_1=pi(r_2)^2h_2`
substituting values we get,
`1/2 xx1/2xx8=1800xxr_2^2`
=>`(r_2)=1/30 cm` thickness of wire=`2/30 cm`
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