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spheres & shells, circles & annular rings

Topic:
Circle, Sphere
The image in the left panel can be thought of as a - - BLUE circle surrounded by a GREEN annulus, or the equator of a - - BLUE sphere surrounded by a GREEN spherical shell. You can vary the size of the [circle,sphere] and the thickness of the [annulus,shell] by dragging the yellow dots. How do the curves in the right panel vary with the ratio of the radii? How do the curves in the right panel vary with the size of the [circle,sphere] and the thickness of the [annulus,shell]? What questions could/would you put to your students base on this applet?