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A cone of base radius 30 mm and vertical height 40 mm has a development struck with a radius of

  • A.40 mm
  • B.30 mm
  • C.70 mm
  • D.50 mm

Answer: D

The slant height is the hypotenuse on the radius and the height, that is the square root of 900 plus 1600. Using the 40 millimetre vertical height as the radius would give a sector far too small to reach round the base.

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