A cube of copper of edge 11 cm is melted and formed into a cylindrical wire of diameter 0.5 cm. Then the length of wire will be obtained from the cube is

Given edge of cube$= 11\mathrm{cm}$

Diameter of cylindrical wire $=0.5 \mathrm{cm}$

radius $\left(r\right)=\frac{0.5}{2}=\frac{5}{20}=\frac{1}{4}\mathrm{cm}$

It is given that volume of cube $=$Volume of cylinder

${11}^3=\pi r^{2}h$

$1331=\frac{22}{7}\times \frac{1}{4}\times \frac{1}{4}\times h$

$h=\frac{1331\times 7\times 4\times 4}{22}$

$h=6776 \mathrm{cm}$

$h=\frac{6776}{100} \mathrm{m}$

$h=67.76\mathrm{m}$