Explore BrainMass

Explore BrainMass

    Volume of Revolution: Parabola and Lines

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the volume of the solid generated by revolving the region between the parabola
    x = y^2 + 1 and the line x =3 about the line x =3.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:43 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/volume-revolution-parabola-lines-7645

    Solution Preview

    put x = 3 in x = y^2 + 1:
    => y = +-sqrt(2)
    therefore,
    V = ...

    Solution Summary

    A volume of revolution is calculated. The parabola and lines to generate a revolving region is found.

    $2.49

    ADVERTISEMENT