Puzzle #1 Which Mountain?
You have a choice of climbing one of three geometrically shaped mountains, which
all 10,000 feet high. One of the mountains is a perfect cylinder, another is in the sha
of a cone, and the third looks like the top half of a sphere. Several out of work math
teachers have constructed roads that go from the base of the summit of each mour
All three roads are built so that you climb 1 vertical foot every 20 horizontal feet. If y
wish to walk the shortest distance from base to summit, which mountain would you
choose?