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SAT数学试题解析:选择题

2018-05-18 15:26:00来源:网络

  备考SAT数学考试,大家对于各种数学题型,要有一定的了解。不同的题型,解题的方法也不相同。因此,在接下里的时间里,新东方在线SAT频道将会为大家持续带来SAT数学试题的题型解析。

  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) SAT数学试题解析:选择题

  (B)48

  (C) SAT数学试题解析:选择题

  (D)96

  (E)Not enough information to tell

  2、 ASAT数学试题解析:选择题rectangle 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)24Ï€

  (B)36Ï€

  (C)64Ï€

  (D)96Ï€

  (D)144Ï€

  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,

SAT数学试题解析:选择题

  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:

SAT数学试题解析:选择题

  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 SAT数学试题解析:选择题Thus, the cone‘s volume is multiplied by a factor of SAT数学试题解析:选择题Cone A‘s

  new volume is SAT数学试题解析:选择题

  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.

SAT数学试题解析:选择题

  Once you visualize the cylinder, you can plug in the values for the volume of a cylinder:SAT数学试题解析:选择题

  以上就为大家整理的“SAT数学试题解析:选择题”,更多精彩内容,请关注新东方在线SAT频道。

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