## Section 7.3 - Volume

**Essential Question(s):**

How are integrals used to calculate volumes of solids?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Answer__the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to

__write enough to answer the question__.

__Volume as an Integral__

- What is the volume of a solid?
- How do you find volume by the method of slicing?

__Square Cross Sections__

- How can you apply the slicing method with square cross sections?

__Circular Cross Sections__

- What is a solid of revolution?
- How do you find the volume with a washer cross section? (example and sidebar)
- How do you find the volume when rotating about another axis?

__Cylindrical Shells - OPTIONAL__

- How do you find volume using cylindrical shells?

__Other Cross Sections - OPTIONAL__

- Read the examples and take notes as needed.

**STEP 3: Reading**

__If time permits,__then

__reread__the lesson and take any extra notes as needed.