The circumference of the base of a cone is 18.84 cm. After cutting the cone in half from the apex along the height, the sum of the surface area increases by 24 cm2. Find the volume of the original cone.
一个圆锥的底面周长是18.84厘米，从圆锥的顶点沿着高将它切成两半后，表面积之和比原来增加了24平方厘米，求原圆锥的体积．
<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>