A cone-shaped wooden block with a height of 3 cm is cut into two equal pieces along the diameter of the bottom surface, and the surface area is increased by 12 cm2. What is the volume of the original cone?
一个高3厘米的圆锥形木块，沿底面直径切成相等的两块，表面积增加12平方厘米，原来圆锥的体积是多少．
<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">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

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

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

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

<gadget id="calculator">(1/3) * 3.14 * 4 * 3</gadget>
<output>12.56</output>

<result>12.56</result>