In: Math
Suppose an ice cream cone has negligible thickness and the tip of the cone is identified with origin (0,0,0)and the circular opening at the top is identified with the equation x^2+y^2=1, z=1. if you fill the cone with ice cream "rounded" so that the surface of the sections forms part of the surface x^2+y^2+z^2=2 and the ice cream has variable density f= x^2+y^2+z^2, what is the mass of the ice cream?