How long does a 1.6 millimeter diameter wire have to be to equal 1 cubic centimeter?

The volume of a wire, which mathematically is a type of cylinder, is the product of its cross-sectional area and its length. The cross-sectional area can be derived from the diameter, so you just need to divide the volume by the cross-sectional area to get the length.1 cm^3 / pi * (0.8 mm)^2 ~= 0.497 cm^3/mm^20.497 cm^3/mm^2 * 100 mm^2/cm^2 = 49.7 cmIn the last step, in order to get rid of mm^2 in the denominator and cm^2 in the numerator, I multiplied my first answer by 100 mm^2/cm^2. Since 100 mm^2 is equal to 1 cm^2, the fraction is equal to one.

It is always OK to multiply only one side of an equation by anything that equals one because multiplying anything by one does not change its value.

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