Changing the dimensions of a cone (such as the height or radius) would affect the volume of the cone. Specifically, if the dimensions are increased, the volume of the cone will also increase, and if the dimensions are decreased, the volume will decrease.
For example, if the height of a cone is doubled while the radius remains the same, the volume of the cone will also double. Conversely, if the radius of a cone is halved while the height remains the same, the volume of the cone will decrease by a factor of four.
Overall, the volume of a cone is directly proportional to the product of its height and the square of its radius, so any changes to these dimensions will result in a corresponding change in the volume of the cone.
17. How would changing the dimensions affect the volume of the cone? Give specific examples.
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