3.5.2: Volumes
3.5.2.1: Disc, Washer, and Shell Methods Around an Axis
Take notes as you watch the video, stopping at 15:33. Listen to the presentation carefully until you are able to find the volume of figures using disks and washers.
Read this material on volumes. This reading discusses the process of finding the volume of objects using the disk and washer methods. Then, complete review questions 1-12 toward the bottom of the page. These exercises will provide you with the opportunity to find the object of volumes using the disk, washer, and shell methods. The solutions to these problems are located here.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to find the volume of a figure rotated around an axis using the disk and washer methods.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to find the volume of a figure rotated around an axis using the shell method.
3.5.2.2: Disc, Washer, and Shell Methods Around a Non-Axis Line
Take notes as you watch the video, starting at 15:33 and watching until the end. Listen to the presentation carefully until you are able to find the volume of figures using discs and washers rotating around a non-axis line.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to find the volume of a figure rotated around a horizontal and a vertical line using the disk method.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to find the volume of a figure rotated around a horizontal and a vertical line using the washer method.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to find the volume of a figure rotated around a horizontal and a vertical line using the shell method.