A conical wooden block with a base diameter of 12 cm is divided into two small wooden blocks of the same size, and the surface area increases by 96 square centimeters compared to the original. What is the volume of this conical block?
一个底面直径是12厘米的圆锥形木块，把它分成形状，大小完成相同的两个小木块后，表面积比原来增加了96平方厘米．这个圆锥形木块的体积是多少？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">6 ** 2</gadget>
<output>36</output>

<gadget id="calculator">96 / 2</gadget>
<output>48</output>

<gadget id="calculator">2 / 12</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">48 * (1/6)</gadget>
<output>8</output>

<gadget id="calculator">(1/3) * 3.14 * 36 * 8</gadget>
<output>301.44</output>

<result>301.44</result>