Question

哪个圆柱体的体积是右图所示圆柱体体积的两倍？

Which cylinder has twice the volume of the cylinder shown at right?

以上都不是

None of the above

答案：B

知识点：圆柱体积

难度评级：980

解答：

给定圆柱体的体积是 $\pi \times 10^2 \times 5 = 500\pi$ ，所以两倍体积是 $1000\pi$ 。

各选项体积为：A 是 $\pi \times 20^2 \times 5 = 2000\pi$ ，B 是 $\pi \times 10^2 \times 10 = 1000\pi$ ，C 是 $\pi \times 5^2 \times 20 = 500\pi$ ，D 是 $\pi \times 20^2 \times 10 = 4000\pi$ 。只有 B 等于 $1000\pi$ 。

所以正确答案是 B。

The given cylinder has volume $\pi \times 10^2 \times 5 = 500\pi,$ so a cylinder of twice the volume has volume $1000\pi.$

The choices have volumes $\pi \times 20^2 \times 5 = 2000\pi$ (A), $\pi \times 10^2 \times 10 = 1000\pi$ (B), $\pi \times 5^2 \times 20 = 500\pi$ (C), and $\pi \times 20^2 \times 10 = 4000\pi$ (D). Only (B) equals $1000\pi.$

Thus, the correct answer is B .

1992 AMC 8 第 16 题

答案：B

难度评级：980

解答：

其他年份的第 16 题