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Frustums worksheet

2 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

2 questions 6 marks Sheet 1
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  1. 3 marks

    The diagram shows a frustum. It was made by standing a cone on its base and slicing a smaller cone off the top, parallel to the base.

    A frustum drawn in isometric projection, with a base radius of 15 cm, a smaller top radius of 3 cm and a vertical height of 32 cm32 cm15 cm3 cm

    The frustum has base radius \(15\) cm, top radius \(3\) cm and height \(32\) cm.

    Find the height of the cone that was removed.

  2. 3 marks

    Here is a frustum. It was made by standing a cone on its base and slicing a smaller cone off the top, parallel to the base.

    A frustum drawn in isometric projection, with a base radius of 6 cm, a smaller top radius of 2 cm and a vertical height of 10 cm10 cm6 cm2 cm

    The frustum has base radius \(6\) cm, top radius \(2\) cm and height \(10\) cm.

    Work out the height of the cone that was removed.

Answers

  1. \(8\ \text{cm}\)
  2. \(5\ \text{cm}\)

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