Section 8.3 - Volume
Essential Question(s):
How are integrals used to calculate volumes of solids?
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).
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.
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
Square Cross Sections
Circular Cross Sections
- What is the volume of a solid? (pg 406-407)
- How do you find volume by the method of slicing? (pg 407)
Square Cross Sections
- How can you apply the slicing method with square cross sections? (Ex 1 pg 407)
Circular Cross Sections
- What is a solid of revolution? (above Ex 2 pg 407)
- How do you calculate a solid of revolution? (Ex 2 pg 407-408)
- What is the area of a washer? (sidebar pg 408)
- How do you calculate volume using washer cross sections? (Ex 3 pg 408)
STEP 3: Reading
Read the following page(s) and take any extra notes as needed.
Read the following page(s) and take any extra notes as needed.
- Read pages 406 -413.
- Make sure to read the paragraphs between the examples and sidebar snippets.