how do you get the length of a copper wire if the diameter is .10cm the mass is 3.4449 g and the density is 8.96g/cm^3

Question

anonymous · Answer

find the cross-sectional area.
volume is length*cross-sectional area
volume*density = mass
volume = mass/density
length = mass/(density*cross-sectional area)

ghazi · Answer

cross sectional area= pi*(10/2)^2

ghazi · Answer

volume = pi* r^2*length

ghazi · Answer

volume= mass/ density

ghazi · Answer

$$volume=\frac{ 3.4449 }{ 8.96 }=0.38449 cm^3$$
now $$0.38449= \pi* 5^2*L$$ and $$L=\frac{ 0.38449}{ 3.14*25 }=0.0048 $$

phi · Answer

@crystal9193  @ghazi has the correct approach, but used the incorrect diameter of 10 cm rather than 0.10 cm

use r= 0.05 cm  in pi*r^2 to find the cross-sectional area of the wire.