16 - Shell

# 16 - Shell - y x 2 3 the x-axis and x = 1 around a the...

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Volumes of Solids of Revolution - Shells When we used the method of disks or washers to find the volume of a solid of revolution, we sliced perpendicular to the axis of revolution. We are now going to slice parallel to the axis of revolution. This method is called the method of cylindrical shells. Remember we slice the region and then revolve it to get the volume. (On the test, you may see this problem phrased as “using cylindrical slices.) Ex. Find the volume of the solid generated by revolving the region bounded by

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Unformatted text preview: y x 2 3 , the x-axis, and x = 1 around: a. the x-axis b. x = 1 c. the y-axis d. y = -1 e. y = 2 f. x = -1 Do: 1. Let R be the region in the xy plane bounded by y 4 x ,± x 2,±and± y 1 4 . Set up the integral for the volume of the solid obtained by rotating R about the y-axis, using cylindrical slices. 2. Let R be the region in the xy plane bounded by y 2 x 2 ±and± y 3 x-1 . Set up the integral for the volume of the solid obtained by rotating R about the x-axis, using cylindrical slices....
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## This note was uploaded on 10/16/2009 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.

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16 - Shell - y x 2 3 the x-axis and x = 1 around a the...

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