Cut a 1.2-meter-long cylindrical steel into three sections according to the ratio of 1:2:3, and the surface area increases by 56 square centimeters compared to the original one. How many cubic centimeters is the volume of the longest section of the three sections of round steel larger than the shortest section?
把长1.2米的圆柱形钢材按1：2：3截成三段，表面积比原来增加56平方厘米，这三段圆钢中最长的一段比最短的一段体积多多少立方厘米
<gadget id="calculator">56 / 4</gadget>
<output>14</output>

<gadget id="calculator">1 + 2 + 3</gadget>
<output>6</output>

<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">14 * 1.2 * (1/2) * 100</gadget>
<output>840</output>

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

<gadget id="calculator">14 * 1.2 * (1/6) * 100</gadget>
<output>280</output>

<gadget id="calculator">840 - 280</gadget>
<output>560</output>

<result>560</result>