SOLUTION: A spool of copper wire hass a mass of 4.26 kg. How long is the wire in the spool if the wire has a diameter of 2.2 mm?( The density of copper is 8.96g/cm3)

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Question 782166: A spool of copper wire hass a mass of 4.26 kg. How long is the wire in the spool if the wire has a diameter of 2.2 mm?( The density of copper is 8.96g/cm3)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A spool of copper wire hass a mass of 4.26 kg.
How long is the wire in the spool if the wire has a diameter of 2.2 mm?
( The density of copper is 8.96g/cm3)
:
Find the number of cu/cm of copper in the original mass
%281000%2A4.26%29%2F8.96 = 475.446 cu/cm, which is 475446 cu/mm
:
let x = length of the wire (in mm)
pi%2A1.1%5E2%2Ax = 3.801327x cu/mm
:
3.801237x = 475446
x = 475446%2F3.801237
x = 125076.76 mm
which is
125076.76/1000 = 125 meters is the length of the wire