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Match the solid with the shape of its lateral development.

1. Right cylinder   2. Right cone   3. Frustum of a cone

P. A sector of a circle   Q. A rectangle   R. The region between two concentric arcs

  • A.1-P, 2-Q, 3-R
  • B.1-Q, 2-R, 3-P
  • C.1-R, 2-P, 3-Q
  • D.1-Q, 2-P, 3-R

Answer: D

Cutting the apex from a cone's sector leaves the band between two arcs, which is why the apex must be located even when it has been removed. The cylinder's parallel generators give a rectangle rather than any curved pattern.

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