Visualizing Solids of Revolution and Volumes

This applet is a visualization of the solid of revolution generated by revolving the region bounded by , 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.
  • Write an expression that gives the volume of an approximating washer.
  • Write an integral that represents the volume of the solid of revolution using the method of washers.
  • Write an expression that gives the volume of an approximating shell.
  • Write an integral that represents the volume of the solid of revolution using the method of shells.