{"id":351,"date":"2023-01-20T00:46:10","date_gmt":"2023-01-20T00:46:10","guid":{"rendered":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/?page_id=351"},"modified":"2025-01-25T10:27:37","modified_gmt":"2025-01-25T15:27:37","slug":"learning-activity-for-the-shell-and-washer-methods","status":"publish","type":"page","link":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-the-shell-and-washer-methods\/","title":{"rendered":"Learning Activity for the Shell and Washer Methods"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-361\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-300x300.jpg\" alt=\"Washers approximating the volume of a solid of revolution\" width=\"300\" height=\"300\" srcset=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-300x300.jpg 300w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-1024x1024.jpg 1024w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-150x150.jpg 150w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-768x768.jpg 768w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-1536x1536.jpg 1536w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124638-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-360\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-300x300.jpg\" alt=\"Shells approximating the volume of a solid of revolution\" width=\"300\" height=\"300\" srcset=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-300x300.jpg 300w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-1024x1024.jpg 1024w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-150x150.jpg 150w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-768x768.jpg 768w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-1536x1536.jpg 1536w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124651-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-362\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-300x300.jpg\" alt=\"3 quarters of a solid of revolution\" width=\"300\" height=\"300\" srcset=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-300x300.jpg 300w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-1024x1024.jpg 1024w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-150x150.jpg 150w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-768x768.jpg 768w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-1536x1536.jpg 1536w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_124558-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>This activity is designed to help students gain a better understanding of how shells and washers can be used to approximate the volume of a surface of revolution.<\/p>\n<p>See the PDF for this activity here: <strong><a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-the-shell-and-washer-methods\/212la-shellwasheractivitys25-v6\/\">212LA-ShellWasherActivityS25-v6<\/a><br>\n<\/strong>And if you&#8217;d like to edit it: <strong><a href=\"https:\/\/paulseeburger.sfo2.digitaloceanspaces.com\/CalcPlot3D\/activities\/212LA-ShellWasherActivityS25-v6.docx\" target=\"_blank\" rel=\"noreferrer\">Word version of this Shell\/Washer Activity<\/a><\/strong><\/p>\n<p>Click here to download the STL files as a .zip file: <a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-the-shell-and-washer-methods\/washersshellsall\/\" target=\"_blank\" rel=\"noreferrer\">Washers and Shells &#8211; STL Files<\/a><\/p>\n<p>Click here to download the Cura .3mf files as a .zip file: <a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-the-shell-and-washer-methods\/washersshells-3mf-cura-files\/\">Download LA-ShellWasher-Cura-3mf-files .zip file<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>This activity is designed to help students gain a better understanding of how shells and washers can be used to approximate the volume of a surface of revolution. See the PDF for this activity here: 212LA-ShellWasherActivityS25-v6 And if you&#8217;d like to edit it: Word version of this Shell\/Washer Activity Click here to download the STL [&#8230;]<\/p>\n","protected":false},"author":654,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-351","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/351","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/users\/654"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/comments?post=351"}],"version-history":[{"count":17,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/351\/revisions"}],"predecessor-version":[{"id":624,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/351\/revisions\/624"}],"wp:attachment":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/media?parent=351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}