SOLUTION: 88 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in meters will be.

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Question 1203456: 88 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in meters will be.
Answer by ikleyn(52781) About Me  (Show Source):
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88 cubic centimeters of silver is drawn into a wire 1 mm in diameter.
The length of the wire in meters will be.
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Let the length of the wire be L meters.


Use the formula for the volume of a cylinder

    V = pi%2Ar%5E2%2AL.     (1)


In your problem,  V = 88 cm^3 = 88000 mm^3;  r = 1 mm;  L = 1000*L mm.

So, based on formula (1)

    88000 = pi%2A1%5E2%2A1000%2AL,

which gives

    L = 88000%2F%283.14159%2A1000%29 = 28.01 meters.


ANSWER.  The length of the wire is about 28 meters.

Solved.

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In such problems, it is important to have and to use the data in consistent units.