Cu wire

Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if density of copper is ρ = 8500 kg/m³. Result round to one decimal place.

Correct result:

m =  547.4 kg

Solution:

$$\begin{gathered} \rho =8500{\text{kg/m}}^3 \\ l=820\text{ m } \\ d=10\text{ mm}\to \text{ m}=10\mathrm{/}1000\text{ m}=0.01\text{ m } \\ S=\pi \cdot (d\mathrm{/}2{)}^2=3.1416\cdot (0.01\mathrm{/}2{)}^2\doteq 0.0001{\text{m}}^2 \\ V=S\cdot l=0.0001\cdot 820\doteq 0.0644{\text{m}}^3 \\ m=\rho \cdot V=8500\cdot 0.0644=547.4\text{ kg} \end{gathered}$$

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