A cylindrical container filled with water has a bottom radius of 8 cm, a height of 30 cm, and a depth of 12 cm. Now put an iron cone with a base radius of 6 cm vertically into the container until the bottom, the cone is just submerged in water, and the water depth is 18 cm at this time, find the volume of the iron cone.
一个盛有水的圆柱形容器底面半径为8厘米，高30厘米，水深12厘米．现将一个底面半径为6厘米的铁圆锥垂直放入容器中直到底部，圆锥刚好浸没在水中，这时水深18厘米，求铁圆锥体积．
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>

<gadget id="calculator">18 - 12</gadget>
<output>6</output>

<gadget id="calculator">3.14 * 64 * 6</gadget>
<output>1_205.76</output>

<result>1_205.76</result>