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