Let D be the region bounded below by the plane z 0, above by the sphere x 2 y 2 z 2 4, and on the sides by the cylinder x 2 y 2 1 Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration a dz dr d b dr dz d c d dz dr ...

a dz dr d In this order of integration we integrate first with respect to z then with respect to r a ...

Let D be the region bounded below by the plane z = 0, above by the sphere

Question:

Let D be the region bounded below by the plane z = 0, above by the sphere x² + y² + z² = 4, and on the sides by the cylinder x² + y² = 1. 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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