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) (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 = . (1)
In your problem, V = 88 cm^3 = 88000 mm^3; r = 1 mm; L = 1000*L mm.
So, based on formula (1)
88000 = ,
which gives
L = = 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.