Question: 16. Consider the solid region above the plane z = 3 and below the sphere x + y + z = 4z. Convert the
16. Consider the solid region above the plane z = 3 and below the sphere x + y + z = 4z. Convert the equation of the sphere into a spherical equation and solve for p. Then determine the angle of intersection. Then set up a triple integral in spherical coordinates representing the volume of this solid. Do NOT evaluate. 17. Convert the triple integral into an equivalent integral in cylindrical coordinates, by first drawing the region of integration. Do NOT evaluate.
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