# Volumes of Revolution: Disk Method VOLUMES OF REVOLUTION Honors Calculus Keeper 38 THE DISK METHOD To find the volume of a solid of revolution with the disk

method, use one of the following: Horizontal Axis of Revolution Vertical Axis of Revolution EXAMPLE

Find the volume of the solid formed by revolving the region bounded by the graph of and about the . EXAMPLE

Find the volume of the solid formed by revolving the region bounded by the graph of and about the . EXAMPLE

Find the volume of the solid formed by revolving the region bounded by the graph of and about the line . EXAMPLE

Find the volume of the solid formed by revolving the region bounded by the graph of and the about the . EXAMPLE

Find the volume of the solid formed by revolving the region bounded by the graph of and the about the line . EXAMPLE

Determine the volume of the solid by rotating the region bounded by and the about the . THE WASHER METHOD Use the washer method for solids of revolution with holes.

EXAMPLE Determine the volume of the solid by rotating the portion of the region bounded by and that lies in the first quadrant about the .

EXAMPLE Determine the volume of the solid by rotating the region bounded by and about the line .

EXAMPLE Determine the volume of the solid by rotating the region bounded by and about the line .

EXAMPLE Find the volume of the solid formed by revolving the region bounded by the graphs of and about the x-axis.