Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2023-part-04 — 191 problems (EN–VI) Question 49

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 49

Tim has exactly six meters of iron wire. He cuts the iron wire into a number of pieces, in such a way that each piece is an integer number of meters long. From each of those pieces, he makes a circle. Then he stacks those circles perfectly vertically balancing on top of each other. A possible front view is shown in the figure to the right.
Question illustration
How many possible heights can his structure have?