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MathNet 2004 — Part 02 Question 36

Math Olympiad Vault · MathNet 2004 — Part 02

Question 36

A snail climbs a cylindrical column $8$ meters high, the base circumference of which is $3$ meters long. Knowing that starting from the base it reaches the top by making two turns around the column and that, having reached the top, it finds itself exactly above the point from which it started, how long is the shortest path that the snail could have travelled?
  1. $3\pi\ \mathrm{m}$
  2. $10\ \mathrm{m}$
  3. $(8+\pi)\ \mathrm{m}$
  4. $12\ \mathrm{m}$
  5. $4\pi\ \mathrm{m}$.