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A copper rod of diameter 1cm and length 8 cm is drawn into a wire of length 18m of uniform thickness. Find the thickness of the wire

Posted by Lucky Sharma 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

According to the question,
Diameter of the copper wire = 1 cm
Radius of the copper wire = 0.5 cm
Length of the copper rod = 8 cm
Volume of the cylinder = {tex}\pi r^2 h{/tex}
{tex}=\pi(0.5)^2 10{/tex}.....(i)
Length of the wire = 18 m = 1800 cm
Volume of the wire ={tex}\pi r^2 h{/tex}
{tex}=\pi(r)^2. 1800{/tex}
By equating both the equations. we get,
r² = 200.00044
r= 0.033 cm
Therefore, The thickness of the wire is 0.033 cm.

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