A copper sphere of diameter 24 cm is drawn into a wire of diameter 8 mm. What is the length of the wire?

Diameter of the spherical copper = 24 cm

Diameter of the wire = 8 mm = 0.8 cm

∴ The volume of the sphere = $\frac{4}{3}{\mathrm{\pi r}}^3 = \frac{4}{3}\mathrm{\pi }\times {12}^3 {\mathrm{cm}}^3$

If the length of the wire is l, then,

Volume of wire = ${\mathrm{\pi r}}^2\mathrm{h} = \mathrm{\pi }\times 0.4^2\times \mathrm{l}$

According to the question,

Volume of sphere = Volume of wire

$\Rightarrow \frac{4}{3}\mathrm{\pi }\times {12}^3=\mathrm{\pi }\times 0.4^2\times \mathrm{l}$

$\Rightarrow \mathrm{l}=\frac{{\displaystyle \frac{4}{3}\mathrm{\pi }\times {12}^3}}{\mathrm{\pi }\times 0.4^2}=14400$ cm

Therefore, the length of the wire must be 14400 cm.