Question

1 cm³ of gold is drawn into a wire 0.1 mm'in diameter. Find the length of the wire.​

Answer 1

Answer:

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Step-by-step explanation:

Cubing both sides:

Volume of cylinder = , where r=radius and h= height.

Given the diameter of the wire is 0.1mm

And, volume of gold = volume of wire= 1000

Therefore, we have:

Volume =

Plug in the known values, volume=1000, r=0.05 and :

Multiply both sides by 7:

Divide both sides by 0.055:

1m = 1000mm

To convert mm into meter, we have to divide  number of mm by 1000.

127272.73mm =   \frac{127272.73}{1000} =127.27m(approx)

Therefore, length of wire = h = 127272.73mm =127.27m

Answer: 127272.73mm or 127.27m