Use the shell method to find the volume of the solid generated by revolving the region bound by ...
Question:
Use the shell method to find the volume of the solid generated by revolving the region bound by {eq}y=4,x=4,x = \sqrt{16-y^2} {/eq} about the x-axis.
Volumes of Revolution With Integration:
The question defines a region with given functions, and we need to find the volume of revolution using the shell method. It's a good idea to plot the graph to best understand the limits of integration. We'll integrate to find the volume.
Answer and Explanation: 1
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The figure shows the bounded region in yellow. We have to use the shell method to find the volume, when the bounded region is rotated...
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How to Find Volumes of Revolution With Integration
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Chapter 14 / Lesson 5
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The volume of a revolution can be calculated using the slicing method, the disk method, and the washer method. Explore the processes of the three methods and discover how to use them to find the volumes of revolution.
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