This worksheet is intended to demonstrate the Calculus I or AP Calculus AB concept of calculating a volume of known cross section.[br][br]Drag [color=#8e7cc3][b]points A and B[/b][/color] on the x-axis in the left graphics window to determine the start and stop of the volume in the x direction. If they don't click/drag smoothly, consider selecting one of them and using the arrow keys on a keyboard to adjust values.[br]You may enter bounding functions [b][color=#0000ff]f(x)[/color][/b] and [b][color=#ff0000]g(x)[/color][/b] into the input fields or just drag the existing graphs in the Graphics1 window.[br][br]Drag the [b]n slider[/b] to determine the number of evenly-spaced cross sections displayed.[br]When [b]n[/b] is set to 0, a single cross section is displayed, and its position is determined by [color=#ff00ff][b]point C[/b][/color] on the x-axis.[br][br][list][*]For “rectangle,” the “ratio” = (height out of xy-plane)/(base in xy-plane)[/*][*]For “triangle” (isosceles), the “ratio” = (length of congruent sides out of xy-plane)/(length of side in xy-plane)[/*][/list][br]Use of this simulation for scenarios in which human life is at stake is strictly prohibited.[br]-----------------[br]Also see:[br][list][*][url=https://www.geogebra.org/m/acdsdq8g]Volumes of Revolution with Disks/Washers[/url].[/*][*][url=https://www.geogebra.org/m/kwat44es]Volumes of Revolution with Shells[/url].[/*][/list]-----------------