AMC 8 1992 Problem 16

AMC8 1992 年第 16 题

立体几何★★★☆☆

Which cylinder has twice the volume of the cylinder shown above?

哪个圆柱的体积是上图所示圆柱体积的两倍？

正确答案 · Correct Answer

解析 · Solution

Solution 1

The volume of a cylinder is given by the formula

V=\pi r^2 h

. The given cylinder therefore has a volume of

\pi (10)^2(5)=500\pi

. Plugging in the radius and height of the answer choices, we find the cylinder that has a volume of double the volume is

\pi (10)^2(10) = 1000\pi \rightarrow

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