If a cone with a height of 3 meters is divided equally into two parts with the same shape, and the surface area is increased by 120 square decimeters, what is the volume of this cone?
把一个高3米的圆锥平分成形状完全相同的两份，表面积增加120平方分米，这个圆锥是体积是多少？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

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

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">60 * (2/3)</gadget>
<output>40</output>

<gadget id="calculator">40 / 2</gadget>
<output>20</output>

<gadget id="calculator">20 ** 2</gadget>
<output>400</output>

<gadget id="calculator">(1/3) * 3.14 * 400 * 3</gadget>
<output>1_256</output>

<result>1_256</result>