The circumference of the base of a cone is 25.12 cm. After the cone is cut in half from the apex along the height, the sum of the surface areas increases by 48 cm2 from the surface area of the original cone. What is the volume of the original cone in cubic centimeters?
一个圆锥体的底面周长是25.12厘米，从圆锥的顶点沿着高将它切成两半后，表面积之和和比原圆锥体表面积增加了48平方厘米．原圆锥体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">8 / 2</gadget>
<output>4</output>

<gadget id="calculator">4 ** 2</gadget>
<output>16</output>

<gadget id="calculator">48 / 2</gadget>
<output>24</output>

<gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>

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

<gadget id="calculator">(1/3) * 3.14 * 16 * 6</gadget>
<output>100.48</output>

<result>100.48</result>