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.

How many possible heights can his structure have?

How many possible heights can his structure have?