To change a triple integral into cylindrical coordinates, we’ll need to convert the limits of integration, the function itself, and dV from rectangular coordinates into cylindrical coordinates. The variable z remains, but x will change to rcos(theta), and y will change to rsin(theta). dV will convert to r dz dr d(theta).
Read MoreTo find the volume from a triple integral using cylindrical coordinates, we’ll first convert the triple integral from rectangular coordinates into cylindrical coordinates. We’ll need to convert the function, the differentials, and the bounds on each of the three integrals. Once the triple integral is expressed in cylindrical coordinates, then we can integrate to find volume.
Read MoreLike cartesian (or rectangular) coordinates and polar coordinates, cylindrical coordinates are just another way to describe points in three-dimensional space. Cylindrical coordinates are exactly the same as polar coordinates, just in three-dimensional space instead of two-dimensional space.
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