Question

1 cm^3 copper is drawn into a wire 0.2 mm in diameter find the length of the wire​

Answer 1

Answer:

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Step-by-step explanation:

Diameter of wire = 0.2 mm = 0.02 cm

Radius of wire = 0.01 cm

Volume of wire = 1 cm^3

=> pi *r^2 * h = 1

=> Length = 1*7/ 22 *0.01*0.01

=> Length = 7 / 22 * 0.0001

=> Length = 70000/22 cm

=> Length of wire = 700/22 m

Length of wire = 31.8 m

Answer 2

☆ ANSWER:-

▪︎ Given:-

• Volume of copper = 1cm³.

• Diameter of wire = 0.2 mm.

• Radius of wire = 0.2mm/2 = 0.1 mm

▪︎ To Find:-

• The length of the wire.

$\rule{400}{2}$

▪︎ Now,

• We know that the wire is always in the form of cylinder.

• So its height would be equal to its length.

• Let us convert the radius of wire in cm as the volume is in cm³.

$\tt\leadsto0.1mm = \frac{0.1}{10} \: cm \\ \\\tt (as \: 1cm = 10mm) \\ \\ \tt\large\red{\fbox{\leadsto0.1mm = 0.01 \: cm}}$

$\rule{400}{2}$

▪︎ Also,

• Volume of cylinder = $\tt =\pi{r}^{2}h$

• Volume of wire = Volume of copper = 1cm³.

$\rule{400}{2}$

▪︎ Therefore,

$\sf \mapsto\pi {r}^{2} h = 1cm {}^{3} \\ \\ \sf \mapsto \times 3.14 \times (0.01cm) {}^{2} \times h = 1cm {}^{3} \\ \\ \sf \mapsto 3.14\times 0.0001cm {}^{2} \times h = 1cm {}^{3} \\ \\ \sf \mapsto0.000314 \times h= 1cm {}^{3} \\ \\ \sf \mapsto \: h = \frac{1cm {}^{3} }{0.000314 {cm}^{2} } \\ \\ \sf \mapsto \: h = \frac{1cm {}^{3} }{(314 \times 10 {}^{ - 6})cm {}^{2} } \\ \\ \sf \mapsto \: h = \frac{1000000 \: cm {}^{3} }{314 \: cm {}^{2} } \\ \\ \sf \mapsto \: h = 3184.71\: cm \: (approx) \\ \\ \sf \mapsto \: h = 318.4 \: mm \: (approx) \\ \\ \sf \mapsto\large \pink{\fbox{length = 318.4 \: mm}}$

$\rule{400}{2}$

☆ Therefore the length of the wire is 318.4 mm