Question

A copper rod of diameter 1cm and length 8cm is drawn into a wire of length 18cm of uniform

thickness. Find the radius of the wire​

Answer 1

Answer:

1/15 cm be i.e. =0.67cm

Step to Step Explain!!

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

Therefore, the diameter of the wire is =1/15 cm

i.e. =0.67 mm which is the thickness of the wire.

MARKS ME AS BRAINLIEST!!