A cuboid wooden block, the sum of its edge lengths is 240 cm, and the ratio of its length, width, and height is 4:3:1, now cut this wooden block into the largest cylinder, what is the volume of this cylinder?
一个长方体木块，它的棱长之和是240厘米，它的长宽高之比是4：3：1，现将这个木块削成一个最大的圆柱体，这个圆柱体的体积是多少？
<gadget id="calculator">240 / 4</gadget>
<output>60</output>

<gadget id="calculator">4 + 3 + 1</gadget>
<output>8</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">(3/8) / 2</gadget>
<output>3/16 = around 0.1875</output>

<gadget id="calculator">60 * (3/16)</gadget>
<output>45/4 = around 11.25</output>

<gadget id="calculator">(45/4) ** 2</gadget>
<output>2_025/16 = around 126.5625</output>

<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">3.14 * (2_025/16) * 60 * (1/8)</gadget>
<output>2_980.546875</output>

<result>2_980.546875</result>