After dividing a cone with a height of 4 meters into two equal parts along the diameter of the base, the surface area increases by 24 square meters. What is the volume of the cone in cubic meters.
把一个高4米的圆锥沿着底面直径平均分成两部分后，表面积增加了24平方米．圆锥体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">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>