This applet shows a visualization of the approximate calculation of the volume of a solid of revolution by using a number of cylinders.[br][br][b]Exercise[/b][br]Vary the number n of partitions in the interval [a; b].[br]Vary the interval [a; b] und choose another function f.

Andreas Lindner

For your reference: [br][br]Enter in the function in the blue input box below. [br]Adjust the "a" and "b" values by using either the sliders or entering them in the input boxes yourself.[br][br][b][color=#1551b5]To the right is displayed what the solid of revolution would look like if you rotated the displayed area about the x-axis. [/color][/b][br][br]As an exercise, try to calculate this volume and see how your answer compares to the volume displayed. [br](Note: For volumes that are irrational, the displayed value only approximates the true exact value.)