Explanation:

- A solid sphere's volume is calculated using \( V = \frac{4}{3} \pi r^3 \).

- Given: radius of sphere = 9 cm. Volume = \(\frac{4}{3} \pi (9)^3\).

- This melted volume becomes the volume of the wire.

- The wire is cylindrical, volume is given by \( V = \pi r^2 h \).

- Given: radius of wire = 2 cm. Solving gives height/length (h).

- Set sphere's volume equal to cylinder's volume: \(\frac{4}{3} \pi (9)^3 = \pi (2)^2 h\).

- Solving for h gives h = 243 cm.

- So, the length of the wire is: 243 cm.

.