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cones, spheres, ellipsoids, tori, paraboloids, hyperboloids.

In fact, consider the graph of any function in 2-dimensions that is always non-negative. Rotate the curve around the x-axis to generate a 3-d shape. A straight line will generate a cone, a square root function will generate a paraboloid, a semicircle will generate a sphere and so on. A wobbly line will generate a lumpy 3-d shape [NB: wobbly and lumpy are very technical terms ;) ]

A plane at right angles to the x-axis will intersect all these curves in a circle.

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