The Disk Method for a Vertical Axis of Revolution
The Disk Method for a Vertical Axis of Revolution
Lesson objective followed by...
0:17 The Disk Method
0:33 Region: The Region in Quadrant I Bounded by the Graphs of y= -x^2 + 5 and y= 1
Axis of Revolution: The y-Axis
1:29 Overview of How to Start the Problem
1:56 Sketching the Region
3:01 Drawing a Representative Rectangle
3:37 Revolving the Representative Rectangle to Obtain a Disk (Cylinder) | So We Use the Disk Method
4:04 Why We Integrate with Respect to y
5:23 Finding the Limits of Integration
6:42 Writing a Function of y for the Radius of a Disk (Cylinder)
7:37 Assigning Coordinates to the Two Endpoints of the Horizontal Line Segment That is the Radius of a Disk
12:32 Writing the Definite Integral for the Volume of the Solid of Revolution
12:48 The Integrand
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