Two cylinders, P and Q, are mathematically similar.
The total surface area of cylinder P is 90π cm290\pi \text{ cm}^290π cm2. The total surface area of cylinder Q is 810π cm2810\pi \text{ cm}^2810π cm2. The length of cylinder P is 4 cm.
Work out the length of cylinder Q.
The volume of cylinder P is 100π cm3100\pi \text{ cm}^3100π cm3. Work out the volume of cylinder Q. 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.