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A worker strikes a cone's development using the vertical height as radius. The pattern will

  • A.be too small to close round the base circle
  • B.be too large and overlap itself when wrapped
  • C.close correctly
  • D.close correctly but give the wrong cone angle

Answer: A

Correct answer: be too small to close round the base circle

The vertical height is shorter than the slant height, so the arc is struck at too small a radius and the sector formed cannot reach from apex to base rim. Rolled up it gives a cone of the wrong proportions that will not meet the base circle - which is why the true length must be taken from the elevation rather than assumed.

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