Answer:
The length of the wire is 3.24451394 × 10⁻⁹ cm
Step-by-step explanation:
The volume of the wire = 66 cm³
The diameter of the wire = 1 mile
We convert the volume from cm³ into mile³ to get;
66 cm³ = 1.5834 × 10⁻¹⁴ mile³
The volume = π × D²/4 × l
Where;
D = The diameter = 1 mile
l = The length of the wire
1.5834 × 10⁻¹⁴ = π × 1²/4 × l
The length of the wire = l = 1.5834 × 10⁻¹⁴/(π × 1²/4) = 2.0160475 × 10⁻¹⁴ mile
1 mile = 160,934.4 cm
2.0160475 × 10⁻¹⁴ mile = 2.0160475 × 10⁻¹⁴ × 160,934.4 cm = 3.24451394 × 10⁻⁹ cm
The length of the wire = 3.24451394 × 10⁻⁹ cm