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66 cm cube of silver is drawn into a wire 1 mile in a diameter does length of wire will be​

Sagot :

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