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? Warm Up What makes a rotation solid? What makes a rotation hollow? Monday, February 25, 2019 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. Monday, February 25, 2019 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 Monday, February 25, 2019 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. Monday, February 25, 2019 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. Monday, February 25, 2019 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. Monday, February 25, 2019 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 (y=0). Monday, February 25, 2019 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 Monday, February 25, 2019 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. Monday, February 25, 2019 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. Monday, February 25, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

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 Monday, February 25, 2019 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. Monday, February 25, 2019 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. Monday, February 25, 2019 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. Monday, February 25, 2019 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. Monday, February 25, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals