This applet is a visualization of the solid of revolution generated by revolving the region bounded by [math]f(x)=x^2[/math], the x-axis, and x = 4 about the y-axis. There are options to display the solid of revolution and/or an approximating washer and/or an approximating shell.

[list][br][*]Write an expression that gives the volume of an approximating washer.[br][*]Write an integral that represents the volume of the solid of revolution using the method of washers.[br][*]Write an expression that gives the volume of an approximating shell.[br][*]Write an integral that represents the volume of the solid of revolution using the method of shells.[br][/list]