A Copperrod of diameter 1 cm, and length 8 cm. is drawn into a wire of length 18 cm of uniform thickness. Find the thickness of the wire.
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Diameter of the copper wire = 1 cm So, radius of the copper wire = 1/2 cm = 0.5 cm Length of the copper rod = 8 cm We know that, Volume of the cylinder = π r2h = π × 0.52 × 8 ……. (i) Length of the wire = 18 m = 1800 cm Volume of the wire = π r2h = π r2 × 1800 ….. (ii) On equating both the equations, we have π × 0.52 × 8 = π r2 × 1800 r2 = 2 /1800 = 1/900 r = 1/30 cm
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