You have a choice of climbing on of three geometrically shaped mountains, which are all 10000 feet high. One of the mountains is a perfect cylinder, another  is in the shape of a cone, and the third looks like the top half of a sphere. Several out of the math work teachers have constructed roads that go from the base to the summit(top) of each mountain. All three roads are built so that you climb 1 vertical foot every 20 horizontal feet. If you wish to walk the shortest distance from base to summit, which would you choose?

(1) Answers

the cone because the shortest distance between two points is a straight line.

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