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. Check the original PDF →
- -_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
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
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
Loading…
Searched on YouTube by topic, not by question text. Open this search on YouTube →
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.