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

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

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

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

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

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

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

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

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

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

#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