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14 October, 19:27

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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Answers (2)
  1. 14 October, 19:40
    0
    27:1

    9:1

    Step-by-step explanation:

    Volume A/Volume B = 3³ = 27

    Area A/Area B = 3² = 9
  2. 14 October, 21:21
    0
    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
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