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Visualizing Solids of Revolution and Volumes

This applet provides visualization of the solid of revolution generated by revolving the region bounded by and about the y-axis. Options allow for visualizing 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.