If a cone whose base circumference is 18.84 cm is cut in half from the apex along the height, the surface area increases by 24 cm2. What is the volume of the original cone?
把一个底面周长是18.84厘米的圆锥体从顶点沿着高切成两半后，表面积增加了24平方厘米，原圆锥体的体积是多少立方厘米．
<gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>

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

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

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">24 / 2 / 6 / (1/2)</gadget>
<output>4</output>

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

<result>37.68</result>