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.
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.
