Given that, the volume of cylinder= 2002$c{m}^2$ and the radius of the cylinder= 7 cm.

Now $\mathrm{volume} \mathrm{of} \mathrm{cylinder}={\mathrm{\pi r}}^2\mathrm{h}= 2002$

$\frac{22}{7}\times 7\times 7\times h=2002$$\Rightarrow h=\frac{2002\times 7}{22\times 7\times 7}=13 cm.$