A conical mold with a height of 6 decimeters is sawn vertically along the height into two parts of the same shape and size, and the surface area is increased by 24 square decimeters. What is the volume of the mold in cubic decimeters.
一圆锥形模具，高是6分米，沿高垂直锯成形状、大小完全相同的两部分，表面积增加了24平方分米．这个模具的体积是多少立方分米．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">12 * (1/3)</gadget>
<output>4</output>

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

<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">(1/3) * 3.14 * 4 * 6</gadget>
<output>25.12</output>

<result>25.12</result>