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Similar Shapes (Area and Volume)

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Question 3

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.

a.

Work out the radius of sphere T.

[3]
b.

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.

[2]

Similar Shapes (Area and Volume) Questions

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