A solid metallic sphere of radius 'r' is melted and drawn into a long cylindrical wire of radius r/10. The length of the wire, in terms of r, is:

Question

Accepted Answer

400/3 r. 4/3π*r^3 = π*(r/10)^2*L = π*(r^2/100)*L => 4/3r^3 = r^2*L/100 => L = 4/3*100*r = 400/3 r.

A solid metallic sphere of radius 'r' is melted and drawn into a long cylindrical wire of radius $\frac{r}{10}$ .
The length of the wire, in terms of $r$ , is: