Method 1: Use the CYLINDER tool. Ideal for upper elementary and middle school students.
Method 2: Use CIRCLE and EXTRUDE TO PRISM tools. Ideal for upper elementary and middle school students studying properties of prisms.
Method 3: Create a SEGMENT parallel to zAxis. Then use the SURFACE command to create a surface of revolution by rotating this segment fully about the zAxis. Ideal for geometry students studying cross sections and surfaces of revolution.
Method 4: Use PARAMETRIC EQUATIONS to build the cylinder via GeoGebra's SURFACE command. Ideal for students studying parametric equations. Note first parameter = u (and goes from 0 to 2pi). Note second parameter = v (and goes from 0 to h).
Quick (Silent) Demo in Augmented Reality. For this cylinder shown, H = 2R.