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

Quantitative Aptitude ( CCS) Mensuration 3D

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

0.22 cm

0.11 cm

0.33 cm

0.44 cm

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Explanation:

Given,
Diameter of the copper wire = 1 cm
Radius of the copper wire = 1 / 2 cm = 0.5 cm
Length of the copper rod = 8 cm
Volume of the cylinder = ∏×r²×h
= ∏×0.5²×10 …………………………………….. (i)
Length of the wire = 18 m = 1800cm
Volume of the wire = ∏×r²×h
= ∏×r²×1800 …………………………………………. (ii)
Now equating both the equations. We get,
r²= 200.00044
r= 0.33 cm
The radius or thickness of the wire is 0.33 cm