Geometry

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The ratio of the volume of Cylinder A to the volume of Cylinder B is 1:5. Cylinder A is similar to Cylinder C with a scale factor of 1:2 and Cylinder B is similar to Cylinder D with a scale factor of 1:3. What is the ratio of the volume of Cylinder C to the volume of Cylinder D?

  • Geometry -

    the radii are in the ratios of

    A/C = 1/2
    B/D = 1/3

    so the volumes are in the ratio of

    A/B = 1/5
    A/C = 1/8
    B/D = 1/27

    So, we want C/D.

    C/D = A/B * B/D * C/A
    = 1/5 * 1/27 * 8/1 = 8/135

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