66 cubic cm of silver is drawn into a wire 1 mm in diameter.

We have,

Radius of wire, $r=\frac{1}{2}=0.5 \mathrm{~mm}=0.05 \mathrm{~cm}$

Let the length of the wire be $l$.

As,

Volume of the wire $=66 \mathrm{~cm}^{3}$

$\Rightarrow \pi r^{2} l=66$

$\Rightarrow \frac{22}{7} \times 0.05 \times 0.05 \times l=66$

$\Rightarrow l=66 \times \frac{7}{22 \times 0.05 \times 0.05}$

$\therefore l=8400 \mathrm{~cm}=84 \mathrm{~m}$

So, the length of the wire is 84 m.