1. Warm Up Draw the graph and identify the axis of rotation that
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
Draw the graph and identify the axis of rotation that
would produce the following objects.
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2. Disk Method Washer Method
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.
Disk Method
Washer Method
Wednesday, May 15, 2019
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, May 15, 2019
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.
Wednesday, May 15, 2019
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, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6. 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, May 15, 2019
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.
Set up but do not evaluate the integral that gives the volume of the solid formed by revolving the region bounded by the curves about the horizontal line y=5.
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8. Solids of Revolution around a line other than an axis.
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.
Solids of Revolution around a line other than an axis.
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9. 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.
Set up but do not evaluate the integral that gives the volume of the solid formed by revolving the region about the following:
a.) y-axis
b.) y = 2
c.) x = 4
d.) y = -4.
Y-axis (x=0)
Wednesday, May 15, 2019
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.
Set up but do not evaluate the integral that gives the volume of the solid formed by revolving the region about the following:
a.) y-axis
b.) y = 2
c.) x = 4
d.) y = -4.
Y=2
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

11. 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.
Set up but do not evaluate the integral that gives the volume of the solid formed by revolving the region about the following:
a.) y-axis
b.) y = 2
c.) x = 4
d.) y = -4.
X=4
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

12. 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.
Set up but do not evaluate the integral that gives the volume of the solid formed by revolving the region about the following:
a.) y-axis
b.) y = 2
c.) x = 4
d.) y = -4.
Y=-4
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

13. 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 #11, 12, 17-20, 31-34
Show sketch of shaded region, setup, and (calculator computed) solution for every problem.
Wednesday, May 15, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals