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Similar Shapes (Area and Volume)

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Question 2

Two cones, A and B, are mathematically similar.

The total surface area of cone A is 12π cm212\pi \text{ cm}^212π cm2. The total surface area of cone B is 108π cm2108\pi \text{ cm}^2108π cm2. The height of cone A is 2 cm.

a.

Work out the height of cone B.

[3]
b.

The volume of cone A is 5π cm35\pi \text{ cm}^35π cm3. Work out the volume of cone B. Give your answer as a multiple of π\piπ.

[2]

Similar Shapes (Area and Volume) Questions

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