{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-01-28T02:01:16+00:00","modifiedTime":"2017-01-28T02:01:16+00:00","timestamp":"2022-09-14T18:17:09+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"SAT","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"},"slug":"sat","categoryId":33794}],"title":"SAT Practice Questions: Finding Volume","strippedTitle":"sat practice questions: finding volume","slug":"sat-practice-questions-finding-volume","canonicalUrl":"","seo":{"metaDescription":"The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice ","noIndex":0,"noFollow":0},"content":"The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice questions, it will ask you to find the total volume of two combined shapes.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\nBoth questions are based on the following information.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0422.gif\"><img class=\"aligncenter wp-image-232720 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0422.gif\" alt=\"sat1001_volume\" width=\"227\" height=\"294\" /></a>\r\n<ol>\r\n\t<li><strong>What is the volume of the cotton candy machine in terms of pi?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1101.gif\"><img class=\"alignnone size-full wp-image-232711\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1101.gif\" alt=\"SAT1001_eq1101\" width=\"56\" height=\"97\" /></a></li>\r\n\t<li><strong>Which is closest to the volume of the cotton candy machine in cubic feet?</strong>\r\n<strong>A.</strong> 20\r\n<strong>B.</strong> 30\r\n<strong>C.</strong> 40\r\n<strong>D.</strong> 50</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (A).</strong>\r\nPer the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1102.gif\"><img class=\"alignnone size-medium wp-image-232712\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1102-270x44.gif\" alt=\"SAT1001_eq1102\" width=\"270\" height=\"44\" /></a>\r\nThe radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1103.gif\"><img class=\"alignnone size-full wp-image-232713\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1103.gif\" alt=\"SAT1001_eq1103\" width=\"97\" height=\"176\" /></a>\r\nThen the cylinder:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1104.gif\"><img class=\"alignnone size-full wp-image-232714\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1104.gif\" alt=\"SAT1001_eq1104\" width=\"84\" height=\"128\" /></a>\r\nNow add the volumes together:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1105.gif\"><img class=\"alignnone size-full wp-image-232715\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1105.gif\" alt=\"SAT1001_eq1105\" width=\"117\" height=\"19\" /></a></li>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nPer the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1106.gif\"><img class=\"alignnone size-medium wp-image-232716\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1106-270x44.gif\" alt=\"SAT1001_eq1106\" width=\"270\" height=\"44\" /></a>\r\nThe radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1107.gif\"><img class=\"alignnone size-full wp-image-232717\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1107.gif\" alt=\"SAT1001_eq1107\" width=\"97\" height=\"176\" /></a>\r\nThen the cylinder:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1108.gif\"><img class=\"alignnone size-full wp-image-232718\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1108.gif\" alt=\"SAT1001_eq1108\" width=\"84\" height=\"128\" /></a>\r\nNow add them together and multiply by 3.14 for pi:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1109.gif\"><img class=\"alignnone size-full wp-image-232719\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1109.gif\" alt=\"SAT1001_eq1109\" width=\"239\" height=\"45\" /></a></li>\r\n</ol>","description":"The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice questions, it will ask you to find the total volume of two combined shapes.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\nBoth questions are based on the following information.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0422.gif\"><img class=\"aligncenter wp-image-232720 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0422.gif\" alt=\"sat1001_volume\" width=\"227\" height=\"294\" /></a>\r\n<ol>\r\n\t<li><strong>What is the volume of the cotton candy machine in terms of pi?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1101.gif\"><img class=\"alignnone size-full wp-image-232711\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1101.gif\" alt=\"SAT1001_eq1101\" width=\"56\" height=\"97\" /></a></li>\r\n\t<li><strong>Which is closest to the volume of the cotton candy machine in cubic feet?</strong>\r\n<strong>A.</strong> 20\r\n<strong>B.</strong> 30\r\n<strong>C.</strong> 40\r\n<strong>D.</strong> 50</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (A).</strong>\r\nPer the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1102.gif\"><img class=\"alignnone size-medium wp-image-232712\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1102-270x44.gif\" alt=\"SAT1001_eq1102\" width=\"270\" height=\"44\" /></a>\r\nThe radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1103.gif\"><img class=\"alignnone size-full wp-image-232713\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1103.gif\" alt=\"SAT1001_eq1103\" width=\"97\" height=\"176\" /></a>\r\nThen the cylinder:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1104.gif\"><img class=\"alignnone size-full wp-image-232714\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1104.gif\" alt=\"SAT1001_eq1104\" width=\"84\" height=\"128\" /></a>\r\nNow add the volumes together:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1105.gif\"><img class=\"alignnone size-full wp-image-232715\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1105.gif\" alt=\"SAT1001_eq1105\" width=\"117\" height=\"19\" /></a></li>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nPer the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1106.gif\"><img class=\"alignnone size-medium wp-image-232716\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1106-270x44.gif\" alt=\"SAT1001_eq1106\" width=\"270\" height=\"44\" /></a>\r\nThe radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1107.gif\"><img class=\"alignnone size-full wp-image-232717\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1107.gif\" alt=\"SAT1001_eq1107\" width=\"97\" height=\"176\" /></a>\r\nThen the cylinder:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1108.gif\"><img class=\"alignnone size-full wp-image-232718\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1108.gif\" alt=\"SAT1001_eq1108\" width=\"84\" height=\"128\" /></a>\r\nNow add them together and multiply by 3.14 for pi:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1109.gif\"><img class=\"alignnone size-full wp-image-232719\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1109.gif\" alt=\"SAT1001_eq1109\" width=\"239\" height=\"45\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8978,"name":"Ron Woldoff","slug":"ron-woldoff","description":" <p><b>Ron Woldoff is founder of National Test Prep, where he helps students succeed on the GMAT, GRE, SAT, ACT, and PSAT. He’s the author of numerous Dummies test prep titles, including <i>GRE 2022 For Dummies</i> and <i>SAT: 1,001 Practice Questions For Dummies.</i></p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8978"}}],"primaryCategoryTaxonomy":{"categoryId":33794,"title":"SAT","slug":"sat","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":232868,"title":"SAT Writing Practice Problems: Parallel Structure, Agreement, and Tense","slug":"sat-writing-practice-problems-parallel-structure-agreement-tense","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232868"}},{"articleId":232865,"title":"SAT Writing Practice Problems: Logic and Organization","slug":"sat-writing-practice-problems-logic-organization","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232865"}},{"articleId":232862,"title":"SAT Writing Practice Problems: Vocabulary in Context","slug":"sat-writing-practice-problems-vocabulary-context","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232862"}},{"articleId":232859,"title":"SAT Writing Practice Problems: Grammar and Punctuation","slug":"sat-writing-practice-problems-grammar-punctuation","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232859"}},{"articleId":232855,"title":"SAT Reading Practice Problems: Interpreting Visual Elements","slug":"sat-reading-practice-problems-interpreting-visual-elements","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232855"}}],"fromCategory":[{"articleId":293029,"title":"SAT Prep 2023 For Dummies Cheat Sheet","slug":"sat-prep-2023-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/293029"}},{"articleId":277844,"title":"10 Ways to Get the Most from the Practice SATs","slug":"10-ways-to-get-the-most-from-the-practice-sats","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277844"}},{"articleId":277839,"title":"10 Mistakes You Won’t Make on the SAT","slug":"10-mistakes-you-wont-make-on-the-sat","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277839"}},{"articleId":277836,"title":"Strategies for the SAT Reading Test","slug":"strategies-for-the-sat-reading-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277836"}},{"articleId":277833,"title":"Simple Strategies for Taking the SAT Writing and Language Test","slug":"simple-strategies-for-taking-the-sat-writing-and-language-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277833"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282560,"slug":"sat-1001-practice-questions-for-dummies","isbn":"9781119215844","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"amazon":{"default":"https://www.amazon.com/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119215846-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/sat-1001-practice-questions-for-dummies-cover-9781119215844-202x255.jpg","width":202,"height":255},"title":"SAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p>Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. 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He’s the author of numerous Dummies test prep titles, including <i>GRE 2022 For Dummies</i> and <i>SAT: 1,001 Practice Questions For Dummies.</i></p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8978"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{"key":"cat","values":["academics-the-arts","study-skills-test-prep","sat"]},{"key":"isbn","values":["9781119215844"]}]\" id=\"du-slot-63221aa5773c9\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = 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SAT Practice Questions: Finding Volume

By: Ron Woldoff and

Updated: 01-28-2017

From The Book: SAT

SAT

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The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice questions, it will ask you to find the total volume of two combined shapes.

Practice questions

Both questions are based on the following information.

sat1001_volume

What is the volume of the cotton candy machine in terms of pi?
Which is closest to the volume of the cotton candy machine in cubic feet? A. 20 B. 30 C. 40 D. 50

Answers and explanations

The correct answer is Choice (A). Per the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with
The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:
Then the cylinder:
Now add the volumes together:
The correct answer is Choice (D). Per the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with
The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:
Then the cylinder:
Now add them together and multiply by 3.14 for pi:

About This Article

This article is from the book:

SAT ,

About the book author:

Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. He is the author of several books, including GRE For Dummies and 1,001 GRE Practice Questions For Dummies.

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