Graphing Calculator 3D Cylindrical Equations

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This page explains how to plot a 3D equation in Graphing Calculator 3D.

Steps:

  1. Select "3D" graph option if not already selected.
  2. Change the coordinates option from "Cartesian" to "Cylindrical" in the dropdown list.
  3. Type in a cylindrical equation using variables θ, z and r.
    • To insert θ press Ctrl+1
    • Alternatively, to insert θ use the keypad by clicking on KeyPad tab button.
    • You may use θ and z variables if "r=" is selected.
    • You may use θ and r variables if "z=" is selected.
    • You may use z and r variables if "θ=" is selected.
Cylindrical coordinates

Examples:

Here are some explicit and implicit cylindrical equations you can type in the program:

  • r=θ+z
  • θ=r/2
  • r^2+θ^2+z^2=sin(r+θ)
  • r<1+θ

Optional Steps:

  • Click on "Graph" tab then click on "Override Default Range" to limit the range of θ, z and r values.