Question: A solid is bounded by the sphere centered at the origin of radius 5 and the infinite cylinder along the z-axis of radius 3.

A solid is bounded by the sphere centered at the origin of radius 5 and the infinite cylinder along the z-axis of radius 3. (a) Write inequalities that describe the solid in Cartesian coordinates. (b) Write inequalities that describe the solid in cylindrical coordinates. (c) Why is this solid difficult to describe in spherical coordinates? Which of the variables p, 0, are difficult to describe? Explain.

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