If a cylindrical wooden block is cut into three small cylinders perpendicular to its height, the surface area will increase by 50.24 square centimeters; if it is cut into four pieces along the center of the upper and lower bottom surfaces, the surface area will increase by 96 square centimeters. Now cut this cylindrical block of wood into the largest cone, what is the volume of the cut part in cubic centimeters?
一个圆柱体木块，如果垂直于它的高切成三块小圆柱体，表面积增加50.24平方厘米；若沿上下底面圆心切成四块，表面积增加96平方厘米．现在把这个圆柱木块削成一个最大的圆锥体，削去部分的体积是多少立方厘米？
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">2 * 2</gadget>
<output>4</output>

<gadget id="calculator">96 / 2 / 4</gadget>
<output>12</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">3.14 * 4 * 12 * (2/3)</gadget>
<output>100.48</output>

<result>100.48</result>