Explore BrainMass

Explore BrainMass

    Multivariable Calculus: Triple Integral - Cylindrical Coordinates

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

    Question: Solve by triple integration in cylindrical coordinates. Assume that each solid has unit density unless another density function is specified:

    Find the volume of the region bounded above by the spherical surface x^2 + y^2 + z^2 = 2 and below by the paraboloid z = x^2 + y^2.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:22 pm ad1c9bdddf

    Solution Preview

    We define
    then the jacobian would be r. We must find

    / / /

    | | |

    | | | 1 dx ...

    Solution Summary

    This solution is comprised of a detailed, step-wise response which shows how a triple integral is solved. All calculations are included.