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Cylinder A is similar to cylinder B, and the radius of A is 3 times the radius of B. What is the ratio of: The volume of A to the volume of B?
What is the ratio of: The lateral area of A to the lateral area of B?

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MathPhys

Step-by-step explanation:

For two similar shapes, if the ratio of their lengths is La / Lb, then the ratio of their areas is:

Aa / Ab = (La / Lb)²

And the ratio of their volumes is:

Va / Vb = (La / Lb)³

Given that La / Lb = 3:

Aa / Ab = (3)² = 9

Va / Vb = (3)³ = 27

amna04352

Answer:

27:1

9:1

Step-by-step explanation:

Volume A/Volume B = 3³ = 27

Area A/Area B = 3² = 9

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