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?

27:1

9:1

Step-by-step explanation:

Volume A/Volume B = 3³ = 27

Area A/Area B = 3² = 9

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