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Similar Shapes (Area and Volume)

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Question 10

The diagram represents a large cone of height 6 cm and base diameter 18 cm. The large cone is made by placing a small cone A of height 2 cm and base diameter 6 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 Eduqas GCSE Maths Similar Shapes (Area and Volume) with exam-style questions for Foundation and Higher tier. 28 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 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

Recurring Decimals to Fractions
Fractional and Negative Indices
The Product Rule for Counting
Repeated Percentage Change
Expanding Triple Brackets
Parallel and Perpendicular Lines
Inequalities on Graphs
Similar Shapes (Area and Volume)
Enlarging with Negative Scale Factors
Circle Theorems
Cumulative Frequency
Box Plots
Capture Recapture