1. Find the volume of each figure.
Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Warm Up
Find the volume of each figure. 1. 2. 3.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2. What makes a rotation solid? What makes a rotation hollow?
Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Can you guess what everyday object will be created by the pictured rotation?
What makes a rotation solid? What makes a rotation hollow?
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
The Disk Method
Integration stacks a massive amount of infinitely thin disks
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6. Do not round with a pie. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Do not round with a pie.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Find the Volume of the solid of revolution formed by rotating the enclosed region about the x-axis. (washer method)
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9. Washer Method SQUARE BEFORE YOU SUBTRACT!!! lol
Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Washer Method
SQUARE BEFORE YOU SUBTRACT!!! lol
SUBTRACT VOLUME, NOT AREA!! lol
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

10. Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Find the Volume of the solid of revolution formed by rotating the enclosed region about the x-axis.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

11. #23-30 follow book directions
Chapter 6.2 Solids of Revolution
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.
Practice:
Pg. 428 #1-6
#23-30 follow book directions
For all problems, setup each integral, then use calculator to evaluate each problem. Also evaluate any 2 problems analytically.
Wednesday, November 21, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals