A cylindrical bucket with a base radius of 20 cm contains water 80 cm deep. Now, if a conical iron block with a bottom circumference of 62.8 cm is completely sunk into the bucket, the water will rise by 6 cm compared to the original one. What is the height of the cone in centimeters?
一个圆柱体水桶，底面积半径为20厘米，里面盛有80厘米深的水．现将一个底面周长为62.8厘米的圆锥体铁块完全沉入水桶里，水比原来上升了6厘米．问圆锥体铁块的高是多少厘米？
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>

<gadget id="calculator">3.14 * 400 * 6</gadget>
<output>7_536</output>

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

<gadget id="calculator">62.8 / 2 / 3.14</gadget>
<output>10</output>

<gadget id="calculator">10 ** 2</gadget>
<output>100</output>

<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>

<gadget id="calculator">7_536 / (1/3) / 314</gadget>
<output>72</output>

<result>72</result>