A single-scoop ice cream cone is a composite body made from a single scoop of ice cream placed into a cone. Assume that the scoop of ice cream is a sphere with radius r = 1.67 in that is placed into a 4.00 in tall cone. The interior height of the cone is 3.60 in. The cone has an exterior radius of 1.25 in and an interior radius of 1.10 in. The scoop of ice cream sits on the cone's interior radius and extends into the cone some distance. Find the bar {z} centroid for the cone (the scoop of ice cream and the cone).