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Volumes of Solids of Revolution: Washer Method

Volumes of Solids of Revolution: Washer Method. Adapted by Mrs. King from http://tutorial.math.lamar.edu/AllBrowsers/2413/VolumeWithRings.asp. Disc Method:. What if the “slices” aren’t solid?. pigsflyguy.com/sitebuildercontent/sitebuilderfiles/sec_07_02_ washer _ method . ppt. Washers!.

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Volumes of Solids of Revolution: Washer Method

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  1. Volumes of Solids of Revolution: Washer Method Adapted by Mrs. King from http://tutorial.math.lamar.edu/AllBrowsers/2413/VolumeWithRings.asp

  2. Disc Method:

  3. What if the “slices” aren’t solid? • pigsflyguy.com/sitebuildercontent/sitebuilderfiles/sec_07_02_washer_method.ppt

  4. Washers!

  5. Washers f(x) • Consider the area between two functions rotated about the axis • Now we have a hollow solid • We will sum the volumes of washers g(x) a b

  6. Washers f(x) g(x) a b Outer Function Inner Function

  7. The Method of Washers • Find the volume of the solid formed by revolving the region bounded by y = (x) and y = x² over the interval [0, 1] about the x – axis. glory.gc.maricopa.edu/~avolpe/230page/7.2calc2discsnadwashers.ppt

  8. Solution:

  9. Homework • Page 465 • #5, 6, 13a, 14a http://mathdemos.gcsu.edu/mathdemos/washermethod/gallery/gallery.html

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