Learning Objectives:

__Math Tutoring on Double Integrals in Polar Coordinates__

Sometimes a **Double Integral** is easier to evaluate using **Polar Coordinates.** This is especially true if the region of integration can be easily defined using a **Polar Equation.**

The following formula for conversion between rectangular and polar coordinates are needed.

*Double Integrals in Polar Form:*

If **‘ f’** is continuous in a polar region given by where

*In math tutoring, we can determine the following using Double Integrals in Polar Form:*

· The volume of a *Right Circular Cylinder.*

· The volume of a *Half Sphere over a circle.*

· The volume of a *Drilled Sphere.*

· Volume bounded by two *Paraboloids.*

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**Hook Questions:**

*1. **Define Double Integrals in Polar Form.*

*2. **State some applications of Double Integrals in Polar Form.*

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