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2 marksIntegration I

CAPE Pure Mathematics Unit 1 · May/June 1999 · Paper 2 · Question 5(d)(i)

Each disc is fed automatically into another machine that rotates it through 360° about the t-axis to sand the edge.

Sketch the solid that is generated by the rotation.

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Other parts of this question

  1. 5(a)Sketch the curve traced out by the cutter.[2 marks]
  2. 5(b)Use the Trapezium rule to find the approximate area of a flat side of each disc by using eight (8) subintervals.[6 marks]
  3. 5(c)Compare this approximate area with the exact area of a side of each disc.[4 marks]
  4. 5(d)(ii)Find the volume of the solid that is generated.[6 marks]

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