{"id":"cb_question_bank:581c9403-bb4d-461c-9fa1-96de688cb6e1","source_id":"cb_question_bank","source_item_id":"581c9403-bb4d-461c-9fa1-96de688cb6e1","external_id":null,"ibn":"070902-DC","question_id":"939c46d1","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The figure presents a cylindrical shape with a circular base and a larger circular top. The diameter of the circular base is labeled “k over 2,” the diameter of the circular top is labeled “k,” and the height is labeled “k.” The volume of the figure is equal to the fraction with numerator 7 pi k cubed, and denominator 48 The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass with 1 gallon of water? 1 gallon equals 128 fluid ounces","stimulus":"","stimulus_html":null,"stem_html":"<p><img src=\"/api/assets/2dc0806363cf7aa4ef1d848073480547554f00a34f0de980d56a264c0220ab51\" alt=\"The figure presents a cylindrical shape with a circular base and a larger circular top. The diameter of the circular base is labeled “k over 2,” the diameter of the circular top is labeled “k,” and the height is labeled “k.” The volume of the figure is equal to the fraction with numerator 7 pi k cubed, and denominator 48\" width=\"153\" height=\"119\"></p><p class=\"stem_paragraph \">The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Jenny has a pitcher that contains 1&nbsp;gallon of water. How many times could Jenny completely fill the glass with 1&nbsp;gallon of water? <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4c9651f961561cb2b00764f92a30e8e111aa5cf9c4ee6700c0617895a1f9d30e\" alt=\"1 gallon equals 128 fluid ounces\"></span></span></p><p></p>\n","rationale_html":"<p>Choice B is correct. It is given that the volume of the glass is approximately 16 fluid ounces. If Jenny has 1 gallon of water, which is 128 fluid ounces, she could fill the glass <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ceb4fd8a988e98a2c555808dffd4e6590222271669dcdd56152cc6a30e9cae01\" alt=\"128 over 16, which equals 8\"></span> times.</p><p>Choice A is incorrect because Jenny would need <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ba20d65e29ffe4e058b9b2731b0ee9b31449d067e67c682821d155ac3cecfe24\" alt=\"16 times 16\"></span> fluid ounces = 256 fluid ounces, or 2 gallons, of water to fill the glass 16 times. Choice C is incorrect because Jenny would need only <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/28a54560990238a1bb530d867902c0c89a20d0382f48fda8d4a56a06ae159ca1\" alt=\"4 times 16\"></span> fluid ounces = 64 fluid ounces of water to fill the glass 4 times. Choice D is incorrect because Jenny would need only <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/2f892ef3823882f17d484d41c53a190a898381d2bb53f9ffcf456f08510f1910\" alt=\"3 times 16\"></span> fluid ounces = 48 fluid ounces to fill the glass 3 times.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.632000+00:00","source_updated_at":"2023-08-02T20:25:59.632000+00:00","options":[{"label":"A","content_html":"<p>16</p>\n","ord":0},{"label":"B","content_html":"<p>&nbsp; 8</p>\n","ord":1},{"label":"C","content_html":"<p>&nbsp; 4</p>\n","ord":2},{"label":"D","content_html":"<p>&nbsp; 3</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}