{"id":435,"date":"2025-02-13T19:44:54","date_gmt":"2025-02-13T19:44:54","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/calculus2\/chapter\/determining-volumes-by-slicing-apply-it\/"},"modified":"2026-02-04T15:18:53","modified_gmt":"2026-02-04T15:18:53","slug":"determining-volumes-by-slicing-apply-it","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/calculus2\/chapter\/determining-volumes-by-slicing-apply-it\/","title":{"raw":"Determining Volumes by Slicing: Apply It","rendered":"Determining Volumes by Slicing: Apply It"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n \t<li>Find the volume of a solid by using the slicing method<\/li>\r\n \t<li>Find the volume of a solid by using the disk method<\/li>\r\n \t<li>Compute the volume of a hollow solid of revolution by using the washer technique<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>3D Printing Martian Habitats: Calculating Volumes for Extraterrestrial Structures<\/h2>\r\nIn 2019, NASA held Phase 3 of its 3D-Printed Habitat Challenge, where competitors created scale models of habitats that could be used on the moon or Mars. AI SpaceFactory won the competition with their design called Marsha, shown below. The habitat is designed to be 3D printed using a mixture of basalt fiber extracted from Martian rock and renewable bioplastic processed from plants grown on Mars.\r\n\r\n<center>\r\n\r\n[caption id=\"attachment_4002\" align=\"aligncenter\" width=\"500\"]<img class=\"wp-image-4002\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/34\/2024\/06\/16195306\/Screenshot-2024-07-16-155245.png\" alt=\"This image depicts a Mars colony scene with two tall, conical, ribbed structures resembling modern habitats. In the foreground, astronauts in spacesuits are interacting with a small white rover and a modular living unit. The landscape is barren and rocky, characteristic of the Martian surface, with a hazy sky in the background.\" width=\"500\" height=\"467\" \/> Photo from https:\/\/spacefactory.ai\/marsha[\/caption]\r\n\r\n<\/center><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm_question hide_question_numbers=1]287929[\/ohm_question]\r\n\r\n<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm_question hide_question_numbers=1]287930[\/ohm_question]\r\n\r\n<\/section>Sources:\r\n\r\n<a href=\"https:\/\/www.space.com\/nasa-3d-printed-habitat-competition-winners.html\">https:\/\/www.space.com\/nasa-3d-printed-habitat-competition-winners.html<\/a>\r\n\r\n<a href=\"https:\/\/www.space.com\/38944-nasa-3d-printed-habitat-challenge-submissions.html\">https:\/\/www.space.com\/38944-nasa-3d-printed-habitat-challenge-submissions.html<\/a>\r\n\r\n<a href=\"https:\/\/spacefactory.ai\/marsha\">https:\/\/spacefactory.ai\/marsha<\/a>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Find the volume of a solid by using the slicing method<\/li>\n<li>Find the volume of a solid by using the disk method<\/li>\n<li>Compute the volume of a hollow solid of revolution by using the washer technique<\/li>\n<\/ul>\n<\/section>\n<h2>3D Printing Martian Habitats: Calculating Volumes for Extraterrestrial Structures<\/h2>\n<p>In 2019, NASA held Phase 3 of its 3D-Printed Habitat Challenge, where competitors created scale models of habitats that could be used on the moon or Mars. AI SpaceFactory won the competition with their design called Marsha, shown below. The habitat is designed to be 3D printed using a mixture of basalt fiber extracted from Martian rock and renewable bioplastic processed from plants grown on Mars.<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_4002\" aria-describedby=\"caption-attachment-4002\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4002\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/34\/2024\/06\/16195306\/Screenshot-2024-07-16-155245.png\" alt=\"This image depicts a Mars colony scene with two tall, conical, ribbed structures resembling modern habitats. In the foreground, astronauts in spacesuits are interacting with a small white rover and a modular living unit. The landscape is barren and rocky, characteristic of the Martian surface, with a hazy sky in the background.\" width=\"500\" height=\"467\" \/><figcaption id=\"caption-attachment-4002\" class=\"wp-caption-text\">Photo from https:\/\/spacefactory.ai\/marsha<\/figcaption><\/figure>\n<\/div>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm287929\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=287929&theme=lumen&iframe_resize_id=ohm287929&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm287930\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=287930&theme=lumen&iframe_resize_id=ohm287930&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/section>\n<p>Sources:<\/p>\n<p><a href=\"https:\/\/www.space.com\/nasa-3d-printed-habitat-competition-winners.html\">https:\/\/www.space.com\/nasa-3d-printed-habitat-competition-winners.html<\/a><\/p>\n<p><a href=\"https:\/\/www.space.com\/38944-nasa-3d-printed-habitat-challenge-submissions.html\">https:\/\/www.space.com\/38944-nasa-3d-printed-habitat-challenge-submissions.html<\/a><\/p>\n<p><a href=\"https:\/\/spacefactory.ai\/marsha\">https:\/\/spacefactory.ai\/marsha<\/a><\/p>\n","protected":false},"author":6,"menu_order":14,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":421,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/435"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":2,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/435\/revisions"}],"predecessor-version":[{"id":2542,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/435\/revisions\/2542"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/421"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/435\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=435"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=435"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=435"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}