Question

A single-scoop ice cream cone is a composite body made from a single scoop of ice cream placed into a cone. (Figure 2) Assume that the scoop of ice cream is a sphere with radius r=1.64in, r=1.64in 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 inin and an interior radius of 1.10 inin . The scoop of ice cream sits on the cone's interior radius and extends into the cone some distance. The specific weight of the cone and scoop of ice cream are γcone=10.0 lb/ft3γcone=10.0 lb/ft^3 and γice cream=45.0 lb/ft^3γice cream=45.0 lb/ft3, respectively. What is z¯, the location of the center of gravity of the cone (i.e., the cone and scoop of ice cream)?

Answer 1

I am uploading with the assumption thickness at the tip is negligible ,pls comment in the bottom if u need any assistance.