When a cylinder 1 meter long is averagely cut into 3 cylinders of the same size, the surface area increases by 60 square centimeters. If the original cylinder is cut into the largest cone, what is the volume of the cone in cubic centimeters?
一个长1米的圆柱体平均切成3个同样大小的圆柱体后，表面积增加60平方厘米．如果将原来这个圆柱体削成一个最大的圆锥体，圆锥体的体积是多少立方厘米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">60 / 4</gadget>
<output>15</output>

<gadget id="calculator">(1/3) * 15 * 1 * 100</gadget>
<output>500</output>

<result>500</result>