The Disk Method
Two Examples for Using the Disk Method for Problems with Horizontal Axes of Revolution
Objective followed by...
0:20 The Disk Method
0:44 Summary of the Development of the Disk Method
Writing Definite Integrals for Finding Volumes of Solids of Revolution
1:49 Region: The Region in Quadrant I Bounded by the Graphs of y= - x^2 + 5 and y= 1
Axis of Revolution: y= 1
2:55 Drawing a Representative Rectangle
3:22 Revolving the Representative Rectangle to Obtain a Disk (Cylinder) | So We Use the Disk Method
4:11 Why We Integrate with Respect to x
5:16 Finding the Integrand
7:14 Finding the Limits of Integration
7:55 Writing the Definite Integral for the Volume of the Solid of Revolution
8:58 Region: The Region Bounded by the Graphs of y= x^2 - 4 and y= 5
Axis of Revolution: y= 5
10:06 Drawing a Representative Rectangle
10:13 Revolving the Representative Rectangle to Obtain a Disk (Cylinder) | So We Use the Disk Method
11:22 Why We Integrate with Respect to x
11:55 Finding the Limits of Integration
12:09 Finding the Integrand
14:05 Writing the Definite Integral for the Volume of the Solid of Revolution
14:25 Using Symmetry of the Solid of Revolution to Write the Definite Integral that Would Give Half of the Volume and then Multiplying by Two
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