Cylindrical and Spherical CoordinatesSpherical versus

Chapter 15, Problem 37PE

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Problem 37PE

Cylindrical and Spherical Coordinates

Spherical versus cylindrical coordinates Triple integrals involving spherical shapes do not always require spherical coordinates for convenient evaluation. Some calculations may be accomplished more easily with cylindrical coordinates. As a case in point, find the volume of the region bounded above by the sphere  and below by the plane z = 2 by using(a) cylindrical coordinates and (b) spherical coordinates.

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