Rotation FNS about yAxis: Surface Function Analogue

Author:
Tim Brzezinski
Topic:
Geometry, Rotation, Solids or 3D Shapes, Surface

In this video, why is the surface of REV (formed by rotating the graph of f about the yAxis) equivalent to the surface whose equation is written explicitly as z = (seen in GeoGebra AR on the right side)?

GeoGebra 3D app from LEFT SIDE in video:

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