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What is the answer in the drop box below?

What is the answer in the drop box below?-example-1
User M T Head
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The difference in the new volume and the original volume is 242.45 in³.

How the difference in the volumes are calculated.

The scaling factor affects the volume of a solid by altering the dimensions of the solid in each direction. If you scale a solid by a factor of k, the volume is affected by a factor of kⁿ where (n) is the dimension of the solid (e.g., n = 3 for a three-dimensional object like a cube.

When a cone is scaled by a factor of k the volume is affected by a factor of k³.

Given that the initial volume is 102.88 in³

Scale factor = 1.5

The volume will be multiplied by

1.5³ = 3.375

New volume is V* 3.375

= 102.08 * 3.375

= 344.52 in³

The difference in the new volume and the original volume is 344.52 - 102.0 8

= 242.45 in³

User Dino Viehland
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