How long it takes a ball to fall to the bottom of a cone, physics, Basic Statistics

How long it takes a ball to fall to the bottom of a cone, physics, Basic Statistics

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A game that friends and I try to play to guess how long it takes a ball to fall to the bottom of a cone and how many revolutions around the cone it will take.

I do not have a lot of physics experience, but I was under the impression that if we knew certain constants such as: the diameter and height of the cone, the mass of the ball, the velocity of the ball as it falls into the cone, the angle of the side of the cone, and the usual constants for gravity and surface friction - that we should be able to know the exact time the ball will fall to the bottom.

We should also be able to know the distance the ball travelled going around the cone before hitting the bottom.

Sadly, I am not quite able to work out how to guess either the time or distance. Any suggestions?

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