You are to place a sphere of ice cream into a cone of height 1. What radius of the sphere will give the most volume of ice cream inside the cone (as opposed to above the cone) for a cone with a base angle of 30 degrees? This have is an optimization problem I was asked to do in calculus class. Can someone please help me? Thanks so much!

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You are to place a sphere of ice cream into a cone of height 1. What radius of the sphere will give the most volume of ice cream inside the cone (as opposed to above the cone) for a cone with a base angle of 30 degrees? This have is an optimization problem I was asked to do in calculus class. Can someone please help me? Thanks so much!

Mathematics
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by the base angle do you mean the angle at the point of the cone?
This guy explains your problem pretty good http://mathforum.org/library/drmath/view/51780.html

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