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As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1. 12. If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339. 12 cm3, how much more will the new cans hold? Use 3. 14 for π and round your answer to the nearest hundredth. 476. 44 cm3 137. 32 cm3 815. 56 cm3 379. 81 cm3.

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sqdancefan

Answer:

  (b)  137.32 cm³

Step-by-step explanation:

The volume of the larger similar container will be the cube of the scale factor times the volume of the original container. That is, the new container will have a volume that is 1.12³ = 1.404928 times the volume of the original.

The amount of increase will be 0.404928 times the original volume, or ...

  0.404928 × 339.12 cm³ = 137.32 cm³

The new cans will hold 137.32 cm³ more.

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