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A cylindrical pencil sharpened at one edge is the combination of

  • A.two cylinders
  • B.a hemisphere and a cylinder
  • C.a cone and a cylinder
  • D.frustum of a cone and a cylinder

Answer: C

The unsharpened body of the pencil is a straight cylinder of uniform circular cross-section. Sharpening tapers one end to a point while keeping that cross-section circular, which is exactly a cone.

So the shape is a cone mounted on a cylinder.

A hemisphere would end in a rounded dome rather than a point, and a frustum would be cut off flat instead of tapering to the graphite tip.

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