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Similar Shapes (Area and Volume)

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Question 3

The diagram represents a large wooden cone of height 9 cm and base diameter 12 cm. The large cone is made by placing a small cone A of height 3 cm and base diameter 4 cm on top of a frustum B.

Volume of cone=13πr2h \text{Volume of cone} = \frac{1}{3}\pi r^2 h Volume of cone=31​πr2h Curved surface area of cone=πrl \text{Curved surface area of cone} = \pi r l Curved surface area of cone=πrl

Calculate the volume of the frustum B. Give your answer in terms of π\piπ.

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Similar Shapes (Area and Volume) Questions

  1. GCSE
  2. /Maths
  3. /Similar Shapes (Area and Volume)

Practise AQA GCSE Maths Similar Shapes (Area and Volume) with exam-style questions for Foundation and Higher tier. 28 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank