Correct option is: C) 36
Radius of metallic sphere is R = \(\frac {Diameter}{2}\) = \(\frac 62\) = 3 cm.
Radius of wire is r = \(\frac {Diameter}{2}\) = \(\frac 22\) = 1 cm.
\(\therefore\) Volume of wire = Volume of metallic sphere
\(\Rightarrow\) \(\pi r^2h\) = \(\frac 43 \pi r^3\) (\(\because\) Wire is in cylindrical shape)
\(\Rightarrow\) h = \(\frac {\frac 43 R^3}{r^2} = \frac 43 \times \frac {3 \times 3 \times 3}{1 \times1} = 36 \, cm\)
Hence, the length of the wire is 36 cm.