The diameter of the base of a cone is 8cm. After cutting it into two equal halves from the apex along the height, the surface area of the cone increases by 48cm**2. What is the volume of this cone.
一个圆锥的底面直径是8cm，从圆锥的顶点沿着高将它切成相等的两半后，表面积比原来的圆锥增加了48cm**2．这个圆锥的体积是多少．
<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>