AMC 8 2008 Problem 21
AMC8 2008 年第 21 题
立体几何★★★☆☆
Jerry cuts a wedge from a 6 -cm cylinder of bologna as shown by the dashed curve. Which answer choice is closest to the volume of his wedge in cubic centimeters?
如图中虚线所示，Jery 从某个 6 厘米长的博洛尼亚圆柱上切下一个楔子。下面哪一个选项的答案最接近他的楔子的体积（单位：立方厘米）？
- A.48
- B.75
- C.151
- D.192
- E.603
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
The slice is cutting the cylinder into two equal wedges with equal volume. The cylinder's volume is . The volume of the wedge is half this which is .
The volume of the whole cylinder is . We approximate to be 3, meaning our answer will be slightly too small. 96*3=288, and we know the wedge cuts the cylinder perfectly in half. , so the closest answer choice is 151.
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