Create a Cylinder with Given Lateral Area

Creation of this resource was inspired by this Open Middle problem from Jason Miller. 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.