Quelpr
6 marksIntegration I

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

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

Find the volume of the solid that is generated.

The mark scheme is shown once you've answered.

Practise this question

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)(i)Sketch the solid that is generated by the rotation.[2 marks]

More practice: the rest of this paper · more Integration I questions · all CAPE Pure Mathematics Unit 1 past papers