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2 years ago

A piece of copper wire of length 200 m has a diameter of 1.2 mm.

Mathematics

1 answer:

vova2212 [387]2 years ago

6 0

The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.

We need to find the volume of the copper wire.

<h3>What is the formula to find the volume of the cylinder?</h3>

The formula to find the volume of a cylinder is πr²h.

Now, the volume of the copper wire=πr²h= $\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080$ mm³=226.080 cm³

If the density of copper is 8.9 g/cm³, find the mass of the wire.

We know that $Density=\frac{Mass}{Volume} }$ .

⇒8.9 g/cm³= $\frac{Mass}{226.080}$

⇒Mass=2,012.112 g/cm³

Therefore, the volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

To learn more about the volume of the cylinder visit:

brainly.com/question/16134180.

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