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Find the length of 11 kg copper wire of diameter 0.4 cm. Given one cubic cm of copper weights 8.4 gram.

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132 m

116 m

111.59 m

104.17m

answer is D.

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Detailed Solution

Given,
Copper wire weight = 11 kg
Copper wire radius (r)

= 0.2 cm

Copper wire density = 8.4 gm/

c m^{3}

Thus, copper wire volume

V = \frac{mass}{density}

V = \frac{11000}{8.4} {cm}^{3}

Now the volume of cylinder can also be given as,

V = π r^{2} h

(h= height of copper wire)

\frac{11000}{8.4} = π r^{2} h

h = \frac{11000}{8.4 (\frac{22}{7} (0.04))}

h = 10416.66 cm

h = 104.17 m

(since, 100 cm = 1m)
Thus, the wire is 104.17 m long.
Correct option is 4.

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