The circumference of the base of a cone is 12.56 centimeters. If it is cut into two identical three-dimensional figures, the surface area increases by 24 square centimeters. What is the volume of the cone in cubic centimeters?
一个圆锥的底面周长是12.56厘米，如果把它切成两个完全一样的立体图形后，表面积增加24平方厘米，则这个圆锥的体积是多少立方厘米．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>

<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">2 * 2</gadget>
<output>4</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">(1/3) * 3.14 * 4 * 6</gadget>
<output>25.12</output>

<result>25.12</result>