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Similar Shapes (Area and Volume)

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Question 6

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.

a.

Work out the length of cylinder Y.

[3]
b.

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.

[2]

Similar Shapes (Area and Volume) Questions

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