A metal wire has mass \((0.4\pm 0.002)\mathrm{g}\), radius \(\left(0.3\pm 0.001\right)\)mm and length \((5\pm 0.02)\math…

A metal wire has mass \((0.4\pm 0.002)\mathrm{g}\), radius \(\left(0.3\pm 0.001\right)\)mm and length \((5\pm 0.02)\mathrm{cm}\). The maximum possible percentage error in the measurement of density will nearly be :

[NEET 2023]