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Australian AMC 2021 - Intermediate Question 9

AMC AUSTRALIA · Australian AMC 2021 - Intermediate

Question 9

I have a solid block of wood in the shape of a cylinder. The top and bottom faces meet the curved side at right angles. Suppose that I slice the cylinder along a plane to create two smaller blocks of wood. Which of the following could not be the shape of the resulting faces created by the slice?

Question illustration

Question illustration
  1. Rectangle (A)
  2. Triangle (B)
  3. Circle (C)
  4. Ellipse (D)
  5. Truncated ellipse (E)