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IB Mathematics: Applications and Interpretation HL · AHL 3: Further Integration · AHL 3.9

Volumes of revolution about the y-axis Problem set B Answers

Skills

  1. \(24\pi\) = 75.4

  2. \(\frac{21\pi}{2}\) = 33.0

  3. 1.38

  4. 88.8

    1. (a) 2.75
    2. (b) \(\frac{27\pi}{10}\) = 8.48

  6. \(\frac{44\pi}{3}\) = 46.1

In context

  1. \(\frac{27\pi}{2}\) = 42.4

  2. \(\frac{35\pi}{2}\) = 55.0

    1. (a) 0.604 litres
    2. (b) 22.1 cm

Stretch

  1. \(\frac{384\pi}{5}\) = 241

  2. k = 2.67

jmaths.xyz · AI HL · AHL 3.9 Volumes of revolution about the y-axis