A solid sphere of diameter 6 cm is melted and drawn into a wire of radius 4 mm. The length of wire is ______.

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A solid sphere of diameter 6 cm is melted and drawn into a wire of radius 4 mm. The length of wire is 225 cm. Explanation: Volume of sphere = ($\frac{4}{3}$)$\pi$(3 cm)^3 = 36 $\pi$cm3 Wire cross-sectional area = $\pi$(0.4 cm)2 = 0.16 $\pi$cm2 Equating volumes: 0.16$\pi$ $\times$ L = 36$\pi$ $\Rightarrow$ L = $\frac{36}{0}$.16 = 225 cm

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