Question

Jerry 从一个 $6$ 厘米长的圆柱形博洛尼亚香肠中切下一块楔形部分，如虚线曲线所示。哪一个选项最接近这块楔形部分的体积，单位为立方厘米？

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?

$\ 48$

$\ 75$

$\ 151$

$\ 192$

$\ 603$

答案：C

知识点：圆柱体积估算

难度评级：1240

解答：

圆柱直径是 $8$ 厘米，所以半径是 $4$ 厘米。它的长度是 $6$ 厘米。

整个圆柱的体积是 $\pi r^2h=\pi\cdot4^2\cdot6=96\pi$ 。

虚线切割得到圆柱的一半，所以楔形部分体积为 $48\pi$ ，约为 $151$ 立方厘米。

所以正确答案是 C。

The cylinder has diameter $8$ cm, so its radius is $4$ cm. Its length is $6$ cm.

The whole cylinder has volume $\pi r^2h=\pi\cdot4^2\cdot6=96\pi$ .

The dashed cut takes half of the cylinder, so the wedge has volume $48\pi$ , which is about $151$ cubic centimeters.

Thus, C is the correct answer.

2008 AMC 8 第 21 题

答案：C

难度评级：1240

解答：

其他年份的第 21 题