Learning Objectives:

__Math Tutoring on Triple Integrals in Cylindrical and Spherical Coordinates__

*Triple Integrals in Cylindrical Coordinates:*

In a **Cylindrical Coordinate** system, a point **‘ P’** in space represented by an ordered triple

If the solid region of integration can be easily defined using cylindrical coordinates, the result is often is much easier to evaluate.

*Triple Integrals in Spherical Coordinates:*

In a **Spherical Coordinate** system of math tutoring, a point **‘ P’** in space is represented by an ordered triple

Notice the extra factors of in the triple integral when using **Spherical Coordinates.** The order of integration can be changed.

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**Hook Questions:**

*1. **Define Triple Integrals using Cylindrical Coordinates.*

*2. **Define Triple Integrals using Spherical Coordinates. *

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