Let R Be the Ice-Cream Cone Lying Inside the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

Essay

Let R be the ice-cream cone lying inside the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ and inside the cone $z = \sqrt { 3 \left( x ^ { 2 } + y ^ { 2 } \right) }$ .Find the center of mass of R.