Answer
5.0 x10³ cm
Work Step by Step
V=πr²(length)
Length= V/πr²
Volume of the copper wire:
22g x (1 cm³/ 8.96g)= 2.45536 cm³ (two sig figs)
Radius of the copper wire:
Diameter= 0.25 mm
*We need to get the radius into centimeters to cancel out the units at the end*
0.25 mm/2= 0.125 mm
0.125 mm/10= 0.0125 cm
Plug into formula:
2.45536 cm³/π(0.0125cm)²
2.45536 cm³/π(0.00015625cm²)
2.45536 cm³/0.0004908738521cm²= 5002.02 cm
*cm³/cm² reduce to cm
With six figs 5.0 x10³ cm