The perimeter of a rectangular model is 24 cm, and the ratio of length to width is 3:1. Taking the long side of the rectangle as the central axis, and rotating the rectangle around, what is the volume of the obtained shape?
一个长方形模型的周长是24厘米，长与宽的比是3：1，以这个长方形的长边为中心轴，把这个长方形旋转周，得到的形体的体积是多少？
<gadget id="calculator">1 + 3</gadget>
<output>4</output>

<gadget id="calculator">24 / 2 / 4</gadget>
<output>3</output>

<gadget id="calculator">3 ** 2</gadget>
<output>9</output>

<gadget id="calculator">3.14 * 1 * 9 * 3 * 3</gadget>
<output>254.34</output>

<result>254.34</result>