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A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. The length of the wire, in metre, is

a

2.43

b

243

c

2430

d

24.3

Answer : Option B
Explanation :

Volume of sphere =43πr3=\frac{4}{3} \pi r^{3}

=43π×9×9×9=972π=\frac{4}{3} \pi \times 9 \times 9 \times 9=972 \pi cubic.cm.

If the length of wire be hcm\mathrm{h} \mathrm{cm}., then π×(0.2)2×h=972π\pi \times(0.2)^{2} \times h=972 \pi

h=9720.2×0.2=24300 cm=243\Rightarrow h=\frac{972}{0.2 \times 0.2}=24300 \mathrm{~cm}=243 metres

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