SOLUTION: Find the waste in making the largest possible cylindrical rod from a bar of iron 2m long which has a cross section whose diagonal is 6cm.

Question 1021148: Find the waste in making the largest possible cylindrical rod from a bar of iron 2m long which has a cross section whose diagonal is 6cm.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
I will assume that the iron bar has a square cross-section.
The diagonal of the square being 6cm ==> each side of the square is cm.
==> the largest possible cylindrical rod would have a radius of cm.
==> Volume of cylindrical rod is
But the volume of the iron bar is
Therefore the amount of waste is
, to two decimal places.
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