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    Description of Multivariable Calculus: Volume of Solid of Revolution

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    Find the volume of the solid that is bounded above and below by the given surfaces z = z_1(x, y) and z = z_2(x, y) and lies above the plane region R bounded by the given curve r = g(u): z = 0, z = 3 + x + y; r = 2 sin u

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    https://brainmass.com/math/calculus-and-analysis/description-multivariable-calculus-volume-solid-revolution-16111

    Solution Preview

    I think u here is the same as theta. In that case, we solve it like this:

    We define
    x=rcos(theta)
    y=rsin(theta)
    z=r
    then the Jacobian would be r. We must find

    ...

    Solution Summary

    The volume of a solid of revolution is calculated.

    $2.19

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