Applications of Integration Volumes of Revolution Many thanks to od/gallery/gallery.html.
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Applications of Integration Volumes of Revolution Many thanks to http:// mathdemos.gcsu.edu/ shellmethod/gallery/ gallery.html
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Transcript of Applications of Integration Volumes of Revolution Many thanks to od/gallery/gallery.html.
Applications of Integration
Volumes of Revolution
Many thanks to
http://mathdemos.gcsu.edu/shellmethod/gallery/gallery.html
To find the volume of a cucumber…
we could slice the cucumber into discs and find the volume of each disc.
We could model the cucumber with a mathematical curve and revolve this curve around the x axis…
Each slice would have a thickness dx and height y.
25-5
We can slice it up, find the volume of each disc and sum the discs to find the volume…..
Radius = y
Area =
Thickness of slice = dx
Volume of one slice=