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Lesson 7.7 Three-Dimensional Symmetry
Solids of Revolution |
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You can create a solid of revolution as you did in your Portfolio Activity by using several copies of a shape. You can also visualize the graph of a function being rotated about the x- or y-axis to create a solid. Calculus provides methods for computing the volume of such solids. Here, we examine the solids that are generated. |
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Internet Activity |
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Activity 7.7
Click this link to view your assignment for this activity.
http://go.hrw.com/resources/go_mt/g1/c7/GSOLREV.PDF |
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Adobe Acrobat Reader
You will need Adobe Acrobat Reader to open and print the activity. To download the reader, click "Adobe Acrobat Reader" above.
http://www.adobe.com/products/acrobat/readstep.html |
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Exploration |
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Volume of a Solid of Revolution
This interactive site illustrates the solid of revolution created by rotating the graph of a function about the x-axis. You can see an animation of the rotation, or look at a cross-section of the solid created by the rotation.
http://www.ies.co.jp/math/java/calc/rotate/rotate.html |
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Solids of Revolution
This interactive site plots a solid of revolution generated by rotating the graph of y=f(x) in the interval [a,b] about the x- or y-axis.
http://mss.math.vanderbilt.edu/cgi-bin/MSSAgent/~pscrooke/MSS/sor.def |
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