Question: Let D be the region bounded below by the cone z = x 2 + y 2 and above by the paraboloid z = 2

Let D be the region bounded below by the cone z = √x² + y² and above by the paraboloid z = 2 - x² - y². Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration.

a. dz dr dθ

b. dr dz dθ

c. dθ dz dr

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