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Homework Help: Cylindrical cordinace?

  1. Oct 26, 2009 #1
    cylindrical cordinace??

    1. The problem statement, all variables and given/known data

    this is a two part question and is multiple choice

    part 1
    Determine the type of the solid described by the given inequalities.
    0 ≤ r ≤ 4, - pi≤ θ ≤ pi, -sqrt(16 − r^2) ≤ z ≤ sprt(16 − r^2)
    a half-cylinder
    a cylinder
    a half-sphere
    a sphere
    a parallelepiped

    part 2

    Determine the type of the solid described by the given inequalities.
    0<= theta <= pi/2 r <= z <= 5

    a quarter of a cone
    a half-cone
    a quarter of a paraboloid
    a half-paraboloid
    a parallelepiped

    graphing in cylindrical confuses me. any help on how to attach these would be great.
    by looking at the second on i would assume it would be one the quarter somethings just because it is giong from 0 to pi/2 but dont know if that is right and if so how to tell the diff between cone or paraboloid??
  2. jcsd
  3. Oct 27, 2009 #2


    Staff: Mentor

    Re: cylindrical cordinace??

    Do you know how to graph polar coordinate in two dimensions? If you can graph a point with polar coordinates (r, [itex]\theta[/itex]) in the plane, cylindrical coordinates in three dimensions aren't much more complicated. The third coordinate is a z coordinate.

    Also, do you know the formulas for converting from Cartesian (or rectangular) coordinates to polar, and vice versa?
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