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Comparing a cylinder with a cone for oblique cuts, the cylinder yields

  • A.a hyperbola whenever the cut is steeper than a generator
  • B.a circle whatever the inclination of the cut
  • C.an ellipse for every oblique cut clear of the bases
  • D.a parabola for every oblique cut clear of the bases

Answer: C

Correct answer: an ellipse for every oblique cut clear of the bases

The cylinder’s generators are parallel, so any oblique plane crossing them all meets every one and the section always closes into an ellipse. A cone’s generators converge, so a plane may fail to meet some of them, and that is what produces the parabola and hyperbola which a cylinder cannot give.

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