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Exploring the Volume of a Cylinder

Author:rebecca.pariso, Duane Habecker
Use the sliders to change the radius and height of the cylinder. Use the hint slider to help you find the volume. Observe how changing the radius and height will also change the volume. Finally, answer the questions below.

What would the radius and height have to be if the cylinder had a volume of 192π?

If you can only use each number once, what values would you choose for the radius and height to obtain the smallest and greatest volume?

For which values on the slider would increasing the radius have a greater impact on increasing the volume of the cylinder? Explain your reasoning.

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