Divide a conical block with a base diameter of 12 cm into two blocks of the same shape and size, and the surface area is increased by 120 cm**2. What is the volume of the cone in cubic centimeters?
把一个底面直径是12cm的圆锥形木块分成形状大小完全相同的两个木块，表面积比原来增加了120cm**2，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 / 2</gadget>
<output>6</output>

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

<gadget id="calculator">120 / 2</gadget>
<output>60</output>

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

<gadget id="calculator">60 * (1/6)</gadget>
<output>10</output>

<gadget id="calculator">(1/3) * 3.14 * 36 * 10</gadget>
<output>376.8</output>

<result>376.8</result>