Visualizing Solids of Revolution and Volumes

This applet provides visualization of the solid of revolution generated by revolving the region bounded by [math]f(x)=sqrt(x)[/math] and [math]g(x)=x^2[/math] about the y-axis. Options allow for visualizing 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]

Information: Visualizing Solids of Revolution and Volumes