There is a cylindrical piece of wood, if it is sawn into 3 small pieces along the horizontal direction, the surface area will increase by 113.04 square centimeters; if it is cut into two equal pieces vertically along the diameter of the upper and lower bottom surfaces, the surface area will increase by 120 square centimeters ． What is the volume of this cylinder of wood in cubic centimeters?
有一根圆柱形木料，如果沿着水平方向将它锯成3小段，表面积则增加113.04平方厘米；如果沿着上、下底面直径将它竖着切成相同的两块，表面积则增加120平方厘米．这个圆柱形木料的体积是多少立方厘米？
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>

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

<gadget id="calculator">120 / 2 / 6</gadget>
<output>10</output>

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

<result>282.6</result>