Copper wire

What is the mass of 500 m of copper wire with a diameter of 1 mm, if ρ = 8.9 g/cm ^ 3?

Correct result:

m =  3.495 kg

Solution:

l=500 m→ cm=500⋅ 100  cm=50000 cm D=1 mm→ cm=1/10  cm=0.1 cm r=D/2=0.1/2=120=0.05 cm p=8.9 g/cm3 V=π⋅ r2⋅ l=3.1416⋅ 0.052⋅ 50000≐392.6991 cm3 m1=p⋅ V=8.9⋅ 392.6991≐3495.0218 g m=m1→ kg=m1/1000  kg=3495.0218/1000  kg=3.495 kg

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