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SAT数学选择题的解析

2020-10-21 18:09:00来源:网络

  为了帮助大家高效备考SAT,新东方在线SAT频道为大家带来SAT数学选择题的解析,希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道!

  1、 Cone A has volume 24. When its radius and height are multiplied by the same factor, the cone’s surface area doubles. What is Cone A’s new volume?

  (A)

  (B)48

  (C)

  (D)96

  (E)Not enough information to tell

  2、 Arectangle stands so that its 6 inch side lies flat against the ground. If

  the rectangle is rotated around the axis of one of its two 4 inch sides, what is the volume of the resulting cylinder?

  (A)24?€

  (B)36?€

  (C)64?€

  (D)96?€

  (D)144?€

  Answers

  1、 C

  The formula for a cone‘s surface area is πr2 + πrl. A cone‘s volume is 1/ 3πr2h. So if the dimensions of a cone are multiplied by the same factor, a,

  then its surface area multiplies by the square of that factor. If the dimensions of a cone are multiplied by the same factor, the volume becomes multiplied by the cube of that

  factor:

  In general, for solids, if each dimension of a cone is multiplied by the same factor, the solid‘s surface area is multiplied by the square of that factor, and its volume increases by the cube of that factor. If the surface area of Cone A doubles, its dimensions are multiplied by a factor of Thus, the cone‘s volume is multiplied by a factor of Cone A‘s

  new volume is

  2、 E

  If the rectangle is rotated about a side of length 4, then the height of the cylinder will be 4 and the radius will be 6.

  Once you visualize the cylinder, you can plug in the values for the volume of a cylinder:

  以上就是关于“SAT数学选择题的解析”的内容,更多精彩内容,请关注SAT频道!


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