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MathNet 1997 — Part 01 Question 72

Math Olympiad Vault · MathNet 1997 — Part 01

Question 72

A bar is made up of an internal steel cylinder of radius $1~\mathrm{cm}$ covered with a homogeneous layer of light rubber of constant thickness. Knowing that by reversing the materials the weight of the bar would not change, determine the thickness of the coating.
  1. $1~\mathrm{cm}$
  2. $\sqrt{2}~\mathrm{cm}$
  3. $(\sqrt{2}-1)~\mathrm{cm}$
  4. Depends on the length of the bar
  5. None of the above