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    Cylindrical Shells

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    The region bounded by the curve and the lines and is revolved around the x-axis to form a solid S.
    The volume of S by the method of washers is given by the integral .
    Find the volume using the method of cylindrical shells. Please show the complete solution (particularly how to find the cross-sectional area), including all work.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddf
    https://brainmass.com/math/integrals/volume-using-cylindrical-shells-15825

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    At a distance x from the origin, draw cylinder of radius r
    r =x^2 + 1
    and height dh = dx.
    hence the volume of ...

    Solution Summary

    This uses the cylindrical shell method to find volume.

    $2.19

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