cuboid wooden block, the sum of all its edge lengths is 36 decimeters, and the ratio of its length, width, and height is 2:3:4. Now it is necessary to cut this cuboid into a cylinder with the largest volume. What is the volume in cubic decimeters.
一个长方体木块，它的所有棱长之和为36分米，它的长、宽、高之比为2：3：4，现在要将这个长方体削减一个体积最大的圆柱体，这个圆柱体的体积是多少立方分米．
<gadget id="calculator">4 + 3 + 2</gadget>
<output>9</output>

<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>

<gadget id="calculator">9 * (2/9)</gadget>
<output>2</output>

<gadget id="calculator">(1/3) / 2</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">9 * (1/6)</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">(3/2) ** 2</gadget>
<output>9/4 = around 2.25</output>

<gadget id="calculator">3.14 * (9/4) * 2</gadget>
<output>14.13</output>

<result>14.13</result>