Two cylinders, X and Y, are mathematically similar.
The total surface area of cylinder X is 50π cm250\pi \text{ cm}^250π cm2. The total surface area of cylinder Y is 200π cm2200\pi \text{ cm}^2200π cm2. The length of cylinder X is 10 cm.
Work out the length of cylinder Y.
The volume of cylinder X is 30π cm330\pi \text{ cm}^330π cm3. Work out the volume of cylinder Y. Give your answer as a multiple of π\piπ.
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.
