Yesterday I saw a column in the middle of town. It was exactly 200 feet high and 16 feet 8 inches in circumference. Someone had wrapped a spiral garland around the column exactly five times. What was the length of the garland?
If you have not tried to solve it, have a go now. For everyone else, the answer is after the break….
Imagine that the column was made from a large sheet of paper that has been rolled into a tube. Next, imagine cutting that sheet of paper into five smaller column, each of which had the same height. Finally, imagine flattening out just one of these mini-columns. The garland would run as a diagonal across the piece of paper. So, the height of the mini column would be 40 ft (a fifth of 200), and the length would be 16ft 8 inches, making the diagonal 43ft 4inches. As a result, the entire garland would be five times this, or 216ft 8 inches.
Did you solve it? Any other solutions?