Divide a cylinder equally along the diameter of the bottom surface into two parts with equal volume and same shape, and the surface area increases by 120 square centimeters compared with the original one. The height of the cylinder is 10 cm, what is the volume of the cylinder in cubic centimeters?
把一个圆柱沿底面直径平均分成体积相等、形状相同的两部分，表面积比原来增加了120平方厘米．圆柱高10厘米，圆柱的体积是多少立方厘米？
<gadget id="calculator">120 / 2 / 10</gadget>
<output>6</output>

<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">3 ** 2</gadget>
<output>9</output>

<gadget id="calculator">3.14 * 9 * 10</gadget>
<output>282.6</output>

<result>282.6</result>