The discussion revolves around creating a 3D model of a figure bounded by the equations y=4 and y=x^2, specifically focusing on the implications of rotating this shape about the x-axis.
The discussion is ongoing, with participants seeking clarification on the shape formed by the rotation and how it relates to the definitions provided. Some guidance has been offered regarding the visualization of the model, but no consensus has been reached.
Participants are grappling with the definitions and visualizations of shapes formed by rotation, indicating potential misunderstandings about the axes of rotation and the resulting geometries.
Codyt said:Ok, I have to make a 3D model of a figure bounded by y=4 and y=x^2 that is rotated about the x-axis. I believe it will form an hour glass shape and I am putting two half spheres together to form the model, is this right?
Codyt said:Can you please explain this, I looked up what you said, but I still cannot see how that would be formed by my shape. The paraboloid of revolution looks more like what would be formed by rotating in about the y axis. Anyh help is appreciated.