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One of these four surfaces cannot be developed exactly. Which is it?

  • A.an oblique cylinder
  • B.a hexagonal prism
  • C.a sphere
  • D.a right circular cone

Answer: C

Correct answer: a sphere

A surface can be developed exactly only if it is single curved or plane, so that it can be unrolled without stretching. Cylinders, cones and prisms all qualify, oblique or not. A sphere is doubly curved and cannot be flattened without distortion - the same fact that makes every map projection a compromise.

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