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A sphere of 70 mm diameter in a true isometric projection is drawn as a circle of diameter

  • A.70 mm
  • B.57.1 mm
  • C.85.8 mm
  • D.40.4 mm

Answer: A

A sphere presents the same circular silhouette from every direction, so no foreshortening applies to it: \[ d_{drawn} = d_{true} = 70 \ \mathrm{mm} \] It is the single case in which the isometric projection and the isometric drawing are identical in size. Applying the 0.816 scale would wrongly give \( 70 \times 0.816 = 57.1 \) mm, which is offered as a distractor.

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