Two cones, A and B, are mathematically similar.
The total surface area of cone A is 12π cm212\pi \text{ cm}^212π cm2. The total surface area of cone B is 108π cm2108\pi \text{ cm}^2108π cm2. The height of cone A is 2 cm.
Work out the height of cone B.
The volume of cone A is 5π cm35\pi \text{ cm}^35π cm3. Work out the volume of cone B. Give your answer as a multiple of π\piπ.
27 exam-style questions on AQA GCSE Maths Similar Shapes (Area and Volume). Each one has a worked solution and a mark scheme showing where the marks go.