A cone with a base radius of 6 cm is cut into two equal parts along the diameter of the base, and the sum of the surface areas of the two parts is 120 cm**2 larger than the original one. Calculate the volume of the original cone.
一个圆锥体底面半径6cm，沿底面直径剖开成相等的两部分后，两部分表面积之和比原来大120cm**2，求原来圆锥体体积．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

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

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

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