Final answer:
To determine the diameter of a copper wire using its density, we need to use the formula for density: density = mass/volume.
Step-by-step explanation:
Once we have the volume in mm³, we can use the formula for the volume of a cylinder: volume = πr²h, where r is the radius and h is the height. Since we want the diameter, we can use the formula for diameter: diameter = 2r.To determine the diameter of a copper wire using its density, we need to use the formula for density: density = mass/volume. In this case, the density of copper is given as 8.91 g/cm³.
We can rearrange the formula to solve for volume: volume = mass/density. Next, we need to convert the mass to grams and the density to g/mm³. Once we have the volume in mm³, we can use the formula for the volume of a cylinder: volume = πr²h, where r is the radius and h is the height (i.e., the length of the wire). Since we want the diameter, we can use the formula for diameter: diameter = 2r.
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