SOLUTION: The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.1 cm. Find the length of the wire.

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Question 802569: The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.1 cm. Find the length of the wire.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Radius of the sphere is %281%2F2%296=3 cm.
VOLUME is %284%2F3%29pi%2A3%5E3 cubic centimeters, the same as would be the 0.10 cm diameter rod.

Let y = the length of the rod formed, its volume is pi%2A%281%2F2%290.1%2Ay cm%5E3

Form the equation %284%2F3%29pi%2A3%5E3=pi%2A0.05y,
Simplify and solve for y.
4%2Api%2A3%5E2=pi%2A0.05y
4%2A3%5E2=0.05y
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The solution used radius as "half of diameter is radius".