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A cylinder of 70 mm diameter and 100 mm height develops as a rectangle whose length is about

  • A.70 mm
  • B.100 mm
  • C.314 mm
  • D.220 mm

Answer: D

Correct answer: 220 mm

The length of the rectangle is the circumference of the cylinder: \[ \pi d = \pi \times 70 = 220\ \mathrm{mm}. \] Using the radius instead gives 110, and using the diameter without pi gives 70 - both natural slips. The width of the rectangle is the height, 100 mm.

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