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anonymous

  • one year ago

A cylinder has a radius of 3 cm and a length of 10 cm. Every dimension of the cylinder is multiplied by 3 to form a new cylinder. How is the ratio of the volumes related to the ratio of corresponding dimensions?

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  1. Directrix
    • one year ago
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    If two solids are similar, the cube of the scale factor of the two solids is equal to the ratio of the volumes. The scale factor for the two cylinders is 1 to 3 because each measure of the first cylinder was multiplied by 3 to get the second cylinder.

  2. Directrix
    • one year ago
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    Applying the theorem, cube the ratio (1/3) to get the ratio of the two volumes. The ratio of the volumes is 1:27. @Autumn_greined

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