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SAT官方每日一题:2011年9月13日

2012-03-04来源:互联网

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  2011年9月13日

  考试类型:Mathematics > Standard Multiple Choice

  Read the following SAT test question and then click on a button to select your answer. 

  A right circular cylinder has height 6 and volume 54 times pi. What is the circumference of its base?

  A.2 times pi

  B. 3 times pi

  C. 6 times pi

  D. 9 times pi

  E.18 times pi

 

正确答案:C

解析:

The volume of a cylinder with radius r and height h is equal to pi times (r^2) times h. Therefore, pi times (r^2) times (6) = 54 times pi and r^2 = 9, so the radius of the cylinder is 3. The circumference of a circle with radius r is equal to 2 times pi times r; therefore, the circumference of the base is equal to 6 times pi.