You will use an online tool to explore the three-dimensional objects generated when a polygon revolves around a line of rotation. Go to 3d transmographer.
To specify the polygon that you want to rotate, enter the number of vertices of the polygon in the input box, and press Go! Enter the coordinates of the vertices in order, and press Graph to plot your polygon. Then build the equation of the line around which you want to rotate your polygon. Once the equation is established, press Revolve, and observe how a solid of revolution (a three-dimensional object) is formed. Changing the polygon or the line of rotation will change the solid of revolution.
Question 1
How can you create a cone and a cylinder using this tool? Describe the shapes and the specific axes of rotation that produce a cone and a cylinder. If there is more than one polygon that can generate the same cone or cylinder, state each shape in the table.