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    Solid of Revolution : Finding Volumes and Setting up Integrals (15 Problems)

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    1. Use shells to find the volume of the solid formed by revolving the given region about the y-axis: {see attachment for regions}

    2. Set up but do not evaluate an integral using the shaded strips {see attachment} for the volume generated when the given region is revolved about
    a) the x-axis
    b) the y-axis
    c) the line y = -1
    d) the line x = -2

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    Solution Summary

    Solids of Revolution are investigated. Volumes are found and integrals are set up.