Question : A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
Option 1: 143 m
Option 2: 108 m
Option 3: 324 m
Option 4: 234 m
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Correct Answer: 108 m
Solution : Diameter of sphere = 18 cm Radius of sphere, $R$ = 9 cm Diameter of wire = 6 mm The radius of wire, $r$ = 3 mm = 0.3 cm Let $l$ be the length of the wire. Volume of sphere = volume of wire $\frac{4}{3}\pi R^3 = \pi r^2l$ $\frac{4}{3}×9^3 = 0.3^2l$ $l = \frac{4×729}{3×0.09}=10800$ cm $=108$ m Hence, the correct answer is 108 m.
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