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  3. The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are

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问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. Yon have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   Ａ.  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   Ｂ.  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   Ｃ.  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   Ｄ.  EACH statement ALONE is sufficient.
   Ｅ.  Statements (1) and (2) TOGETHER are NOT sufficient.
A truck driver wants to load as many identical cylindrical canisters of olive oil as can fit into the 3- meter ×4- meter ×9- meter storage space of his truck. How many canisters can he load into the truck?
   (1) Each canister has a volume of 62,500π cubic centimeters.
   (2) The height of each canister is four times the radius.
选项
答案C
解析 To determine the maximum number of canisters that can fit in the truck, you need to know the diameter and height of the canisters. (1) alone is insufficient, because the volume of the canisters does not tell you the dimensions; as an extreme example, each canister could have that volume and be 10 meters high, in which case none could fit in the truck. (2) alone is insufficient because each canister could have a radius of 1 meter and a height of 4 meters, or each canister could have a radius of 0.1m and a height of 0.4m. If the statements are combined, there is only one set of dimensions that matches the statements. The volume of a canister is πr2 height, so 62,500π=4πr3. This yields the result that r=25cm and height=1m, but note that you don’t have to do the onerous calculations; once you know that you could derive the radius, and thereby the height, you know that you could then answer the question.
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