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A cut through a right circular cylinder that is perpendicular to its altitude yields a circular cross-section.
A right circular cylinder that is cut on a plane not perpendicular to its altitude but also but also not parallel to its altitude will yield an ellipse whose minor axis is the diameter of the cylinder.
Trivial cases of a set of parallel lines, a single line, or the empty set occur when the cut is parallel to the altitude, externally tangent to the cylinder, or does not intersect the cylinder, respectively.
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The height of a cylinder is 10 inches and the volume is 146 cubic inches - what is the radius of this cylinder?
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