cuboid wooden block, the sum of the lengths of all its edges is 144 cm, and the ratio of its length, width and height is 4:3:2. Now it is necessary to cut this cuboid into a cylinder with the largest volume. What is the volume of this cylinder? Cubic centimeters?
一个长方体木块，它的所有棱长之和为144厘米，它的长宽高之比为4：3：2，现在要将这个长方体削成一个体积最大的圆柱体，这个圆柱体体积是多少立方厘米？
<gadget id="calculator">144 / 4</gadget>
<output>36</output>

<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">36 * (1/3)</gadget>
<output>12</output>

<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">6 ** 2</gadget>
<output>36</output>

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

<gadget id="calculator">36 * (2/9)</gadget>
<output>8</output>

<gadget id="calculator">3.14 * 36 * 8</gadget>
<output>904.32</output>

<result>904.32</result>