Have you ever wondered while enjoying an ice cream as to whether or not the shape of the cone would influence how much ice cream it would hold? As it turns out, it most certainly does.
If you have a right circular cone of radius r and height h and the slant height of the cone is of length L, then the relationship between all three has a direct bearing on the volume of the cone. So what would be the radius r of a cone expressed in terms of the slant height L ( what fraction of L does r need to be) in order for the cone to always provide the maximum possible volume? Can you prove that your calculation is correct?
Ron.
If you have a right circular cone of radius r and height h and the slant height of the cone is of length L, then the relationship between all three has a direct bearing on the volume of the cone. So what would be the radius r of a cone expressed in terms of the slant height L ( what fraction of L does r need to be) in order for the cone to always provide the maximum possible volume? Can you prove that your calculation is correct?
Ron.