It is known that a cylindrical wood with a length of 3 meters is cut into 4 sections, and its surface area increases by 18.84 square meters. If it is cut into the largest cone, what is the volume of this cone in cubic meters?
已知一根长3米的圆柱形木料，将它截成4段，其表面积增加18.84平方米，如果将它削成一个最大的圆锥，则这个圆锥的体积是多少立方米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">18.84 / 6</gadget>
<output>3.14</output>

<gadget id="calculator">(1/3) * 3.14 * 3</gadget>
<output>3.14</output>

<result>3.14</result>