The copper wire

The copper wire bundle with a diameter of 2.8mm weighs 5kg. How many meters of wire are bundled if 1m3 of copper weighs 8930kg?

Correct answer:

l =  90.9 m

Step-by-step explanation:

D=2.8 mm m=5 kg ρ=8930 kg/m3  r=D/2=2.8/2=57​=1.4 mm r2​=r→ m=r:1000  m=1.4:1000  m=0.0014 m m S=π⋅ r22​=3.1416⋅ 0.00142≐6.1575⋅10−6 m2  m = ρV m = ρ S l  l =  ρ⋅ Sm​ l=ρ⋅ π⋅ r22​m​=8930⋅ 3.1416⋅ 0.001425​=90.9 m

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