Question: Exercise 3- Conic Sans sphere: Let S be the region above the cone z=x2y22 and below the plane z=4. We decided to remove the half-ball

Exercise 3- Conic Sans sphere: Let S be the region above the cone z=x2y22 and below the plane z=4. We decided to remove the half-ball centered at (0,0,4) of radius 1. Find the volume of resulting region.Hints: The equation of the half-ball is x2y2(z-4)21. Also, if you use cylindrical coordinates, you might need to set up this volume as two integrals.

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