For a cuboid block, the sum of its edge lengths is 180 cm, and the ratio of its length, width, and height is 4:4:1. Now cut this cuboid block into the largest cylinder, what is the volume of this cylinder in cubic centimeters?
一个长方体的木块，它的棱长总和是180厘米，它的长、宽、高之比是4：4：1．现将这个长方体木块切削成一个最大的圆柱，这个圆柱的体积是多少立方厘米？
<gadget id="calculator">4 + 4 + 1</gadget>
<output>9</output>

<gadget id="calculator">180 / 4 / 9</gadget>
<output>5</output>

<gadget id="calculator">5 * 4</gadget>
<output>20</output>

<gadget id="calculator">20 / 2</gadget>
<output>10</output>

<gadget id="calculator">3.14 * 10 * 10 * 5</gadget>
<output>1_570</output>

<result>1_570</result>