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Section 7-3

Section 7-3. Volume using The Shell Method. The shell method is like the washer method only the rotation is about the y-axis. http://www.rkm.com.au/animations/animation-solid-revolution-2.html.

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Section 7-3

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  1. Section 7-3 Volume using The Shell Method

  2. The shell method is like the washer method only the rotation is about the y-axis. http://www.rkm.com.au/animations/animation-solid-revolution-2.html

  3. If we take a vertical slice and revolve it about the y-axis we get cylinders. Then we add up the volume of all the cylinders

  4. Sum of the cylindrical shells Volume = ∑circumference ∙ height ∙thickness

  5. One Function: The volume of the solid obtained by revolving R about the y-axis using cylindrical shells is given by:

  6. 1. Find the volume of the solid obtained by revolving f(x) about the y-axis if

  7. Two Functions: The volume of the solid of revolution of the region bounded by f(x) and g(x) is given by:

  8. 2. Find the volume of the revolution of the region bounded by the curves

  9. 3. Find the volume of the solid of revolution bounded by • rotated about the y-axis

  10. Assignment • Practice 7-3 Shells • Reference http://www.msstate.edu/dept/abelc/math/volume.html

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