Volumes of five pyramids, cones and a hemisphere

Volumes of five pyramids, cones and a hemisphere

Secondary 2
TGM Original Questions

Find each volume, using \(\pi=3.142\) and giving decimal answers to 2 d.p. where needed.

  1. A triangular pyramid has a triangular base of base 30 cm and perpendicular height 12 cm; the pyramid height is 20 cm.
  2. A pyramid has base area \(120\text{ cm}^2\) and height 15 cm.
  3. Two identical cones share a circular base of radius 5 cm; each cone has vertical height 12 cm.
  4. A solid hemisphere has radius 7 cm.
  5. A cone has base area \(81\pi\text{ cm}^2\) and height 20 cm.

Solution:

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Answer:(a) \(1200\text{ cm}^3\); (b) \(600\text{ cm}^3\); (c) \(628.40\text{ cm}^3\); (d) \(718.47\text{ cm}^3\); (e) \(1696.68\text{ cm}^3\).

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