Two spheres, S and T, are mathematically similar.
The total surface area of sphere S is 20π cm220\pi \text{ cm}^220π cm2. The total surface area of sphere T is 500π cm2500\pi \text{ cm}^2500π cm2. The radius of sphere S is 5 cm.
Work out the radius of sphere T.
The volume of sphere S is 8π cm38\pi \text{ cm}^38π cm3. Work out the volume of sphere T. 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.
