{"id":"cb_practice_pdf:t5-math-m1-q15","source_id":"cb_practice_pdf","source_item_id":"t5-math-m1-q15","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":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-5","module_number":1,"position":15,"stem":"- -_circular -_cylinder -_has_a_base_diameter_of - - ~ A right 22 centimeters and a height of 6 centimeters. What is the volume, in cubic centimeters, of the cylinder? 132π","stimulus":"","stimulus_html":null,"stem_html":"<p>- -_circular -_cylinder -_has_a_base_diameter_of - - ~ A right 22 centimeters and a height of 6 centimeters. What is the volume, in cubic centimeters, of the cylinder? 132π</p>","rationale_html":"<p>Choice C is correct. The volume, V, of a right circular cylinder is given by the =r 2 formula V r h, where r is the radius of the base of the cylinder and h is the height of the cylinder. It’s given that a right circular cylinder has a height of = 6 centimeters. Therefore, h 6. It’s also given that the cylinder has a base diameter of 22 centimeters. The radius of a circle is half the diameter of the circle. Since the base of a right circular cylinder is a circle, it follows that the radius of the 22 = base of the right circular cylinder is , or 11, centimeters. Therefore, r 11. 2 =r 2 =r 11 2 6 Substituting 11 for r and 6 for h in the formula V r h yields V ^ h ^ h, =r 121 6 =726r which is equivalent to V ^ h^ h, or V . Therefore, the volume, in cubic 726r centimeters, of the cylinder is . Choice A is incorrect. This is the volume of a right circular cylinder that has a base diameter of 2 22, not 22, centimeters and a height of 6 centimeters. Choice B is incorrect. This is the volume of a right circular cylinder that has a base diameter of 4 11 , not 22, centimeters and a height of 6 centimeters. Choice D is incorrect. This is the volume of a right circular cylinder that has a base diameter of 44, not 22, centimeters and a height of 6 centimeters. 37 SAT PRACTICE TEST #5 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>264π</p>","ord":0},{"label":"B","content_html":"<p>726π</p>","ord":1},{"label":"C","content_html":"<p>2,904π</p>","ord":2},{"label":"D","content_html":"","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}}