The circumference of the base of a cone is 18.84dm. After cutting it in half from the apex of the cone along the height, the sum of the surface areas increases by 24dm**2 from the surface area of the original cone. What is the volume of the original cone in cubic decimeters?
一个圆锥的底面周长是18.84dm，从圆锥的顶点沿着高将它切成两半后，表面积之和比原来圆锥表面积增加了24dm**2，原来圆锥体积是多少立方分米？
<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">3 * 2</gadget>
<output>6</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>