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.