Copper wire

What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm, if the density of copper is 8.8 kg?

Correct answer:

m =  49.7628 kg

Step-by-step explanation:

$$\begin{gathered} l=200\text{ m}\to \text{ dm}=200\cdot 10\text{ dm}=2000\text{ dm } \\ D=0.6\text{ cm}\to \text{ dm}=0.6\mathrm{/}10\text{ dm}=0.06\text{ dm } \\ \rho =8.8{\text{kg/dm}}^3 \\ V=\pi \cdot (D\mathrm{/}2{)}^2\cdot l=3.1416\cdot (0.06\mathrm{/}2{)}^2\cdot 2000\doteq 5.6549{\text{dm}}^3 \\ m=\rho \cdot V=8.8\cdot 5.6549=49.7628\text{ kg} \end{gathered}$$

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