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3Q: Build a Cylinder with Lateral Area

Shown below is a cylinder. For simplicity, let's use positive integers 1-9 to serve as possible radius and height values for this cylinder. Given this, create a cylinder whose lateral area is given. Use the r and h sliders to alter the radius and height (respectively). The number of possible outcomes (due to our use of only single digit positive integers for r and h) is also shown.