SOLUTION: 66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The Length of the wire in metres will be?

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Question 752864: 66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The
Length of the wire in metres will be?
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Compare volumes. What unit do you want for the length?

Volume for a cylinder (which is like what this wire will be): L%2Api%2A%28d%2F2%29%5E2 using L for length of the wire and d for the diameter.

Suggestion: arrange everything in meters.
1 centimeter = 0.01 meter
1 mm =0.001 meter
OR
100 centimeters = 1 meter
1000 mm = 1 meter

volume of cube = volume of cylinder

66%2A10%5E%28-6%29=10%5E%28-9%29L%2Api%2A%281%2F2%29%5E2
Multiply left and right by 10%5E6
66=10%5E%286-9%29L%2Api%2A%281%2F4%29
66=10%5E%28-3%29L%2Api%2F4
66000=L%2Api%2F4
4%2A66000%2Fpi=L+
highlight%28L=8400%29 meters