{"id":"cb_practice_pdf:t6-math-m2-q16","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q16","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-6","module_number":2,"position":16,"stem":"A right circular cylinder has a^- volume^- of 432 cubic centimeters. The area of the base of the cylinder is 24 square centimeters. What is the height, in centimeters, of the cylinder?","stimulus":"","stimulus_html":null,"stem_html":"<p>A right circular cylinder has a^- volume^- of 432 cubic centimeters. The area of the base of the cylinder is 24 square centimeters. What is the height, in centimeters, of the cylinder?</p>","rationale_html":"<p>Choice A is correct. The volume, V, of a right circular cylinder is given by the =r 2 r 2 formula V r h, where r is the area of the base of the cylinder and h is the 432 height. It’s given that a right circular cylinder has a volume of cubic 24 432 centimeters and the area of the base is square centimeters. Substituting 24 r 2 =r 2 432=24 for V and for r in the formula V r h yields h. Dividing both sides 24 18= of this equation by yields h. Therefore, the height of the cylinder, in 18 centimeters, is . Choice B is incorrect. This is the area of the base, in square centimeters, not the height, in centimeters, of the cylinder. Choice C is incorrect. This is the height, in 432 centimeters, of a cylinder if its volume is cubic centimeters and the area of its 24 base is 2, not , cubic centimeters. Choice D is incorrect. This is the height, in 432 centimeters, of a cylinder if its volume is cubic centimeters and the area of its 1 24 base is 24, not , cubic centimeters.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>18</p>","ord":0},{"label":"B","content_html":"<p>24</p>","ord":1},{"label":"C","content_html":"<p>216</p>","ord":2},{"label":"D","content_html":"<p>10,368</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}