Visualizing Cylindrical Coordinates: r, θ, and h

This GeoGebra example demonstrates how a point in 3D space can be located using cylindrical coordinates (r, θ, h), linking the parameters to a clear geometric picture. It focuses on key ideas such as cylindrical coordinate parameterization, the meaning of the angular coordinate θ on the horizontal circular direction, and the height h as vertical displacement. The construction centers on the objects r, theta, and h, and uses Segment to build the geometric connections (e.g., between points that represent the radial direction, the angular placement, and the vertical alignment). Objects like A, B, and O serve as reference points (with O as the base/basis), while additional elements (f, g, i, c, a) organize auxiliary geometry to display the relationships between the parameters and the final spatial position. Suitable for secondary school advanced learners through early university-level instruction in solid coordinate geometry, trigonometry, and coordinate-system visualization.