After sawing a log into two pieces, the surface area increases by 628 square centimeters. If the log with a length of 24 cm is cut into the largest cone. How many cubic centimeters of wood were chipped?
将一根圆木锯成两段后表面积增加了628平方厘米，如果将这根长24厘米的圆木，削成一个最大的圆锥．削下了多少立方厘米木料？
<gadget id="calculator">628 / 2</gadget>
<output>314</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">314 * 24 * (2/3)</gadget>
<output>5_024</output>

<result>5_024</result>