A metallic sphere of radius 6 cm is melted and drawn into a wire, whose radius of cross section is 8 cm. What is the length of the wire?

Radius of the sphere = 6 cm

Radius of the cross section of the wire = 8 cm

Volume of a sphere:

​$$V_{\text{sphere}} = \frac{4}{3} \pi r^3$$​​

Where r is the radius of the sphere.

Volume of a cylinder (which represents the wire):

​$$V_{\text{cylinder}} = \pi r_{\text{wire}}^2 h$$​​

Where $$r_{\text{wire}}$$​ is the radius of the cross section of the wire and h is the length of the wire.