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    Shell method

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    Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y axis.

    1. y=x. Line goes from (0,0) to to (2,2). Picture shows a thin yellow rectangle going from about x=1.5 vertical to the y=x line.

    2) y=sq. root of x. Line goes from (0,0) to to (4,2). Picture shows a thin yellow rectangle going from about x=2.5 vertical to the y=sq. root of x line.

    5) y=x^2, y=0,x=2

    7) y=x^2, y=4-x^2

    9) y=4-x^2, x=0, y=4

    © BrainMass Inc. brainmass.com March 4, 2021, 6:01 pm ad1c9bdddf
    https://brainmass.com/math/integrals/shell-method-24103

    Solution Summary

    There are several problems using the shell method to find the volume of a solid created by revolving an equation around the axis.

    $2.49

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