Answer
There can be obtained 565 ft of copper from that ingot.
Work Step by Step
1. First we need to find the total volume of copper.
- Identify the conversion factors:
Pounds to grams: $\frac{453.6 \space g}{1 \space lb}$
Now we can convert the weight of copper to grams and use the density to find the volume in $cm^3$.
2. Now we need to convert the volume of copper into feet of copper wire.
- Identify the conversion factors:
Centimeters to feet: $\frac{1 \space ft}{30.48 \space cm}$
Volume of the cylinder to length\height: $\frac{h (cm)}{\pi r^2 h(cm^3)} = \frac{1 \space cm}{\pi (d/2)^2 \space cm^3}$
** d = 7.50 mm $\times \frac{100 \space cm}{1000 \space mm} = 0.750 \space cm$
3. Calculate the length\height of the wire:
$150 \space lb \times \frac{453.6 \space g}{1 \space lb} \times \frac{1 \space cm^3}{8.94 \space g} \times \frac{1 \space cm}{\pi (0.750/2)^2 \space cm^3} \times \frac{1 \space ft}{30.48 \space cm} = 565 \space ft$
