A master carpenter cuts a conical wood with a height of 4cm along the diameter and height of the bottom surface, and the surface area increases by 24cm**2 What is the volume of this conical wood?
木匠师傅把一个高是4cm圆锥形木料，沿底面直径和高锯开，表面积就增加了24cm**2原来这个圆锥木料的体积是多少？
<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 / 4</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">12 * (1/2)</gadget>
<output>6</output>

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

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

<gadget id="calculator">(1/3) * 3.14 * 9 * 4</gadget>
<output>37.68</output>

<result>37.68</result>