A cylindrical container filled with water has a bottom radius of 10 cm, a height of 30 cm, and a depth of 12 cm. Put a conical iron block with a bottom diameter of 2 cm and a height of 6 cm into this cylindrical container. What is the water depth in the cylindrical container at this time?
一个盛有水的圆柱形容器，底面半径为10厘米，高30厘米，水深12厘米．今将一个底面直径2厘米，高为6厘米的圆锥形铁块放入这个圆柱形容器中，这时圆柱形容器的水深是多少厘米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">2 / 2</gadget>
<output>1</output>

<gadget id="calculator">1 ** 2</gadget>
<output>1</output>

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

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

<gadget id="calculator">6 / 314</gadget>
<output>3/157 = around 0.019108</output>

<gadget id="calculator">(1/3) * 3.14 * 1 * (3/157)</gadget>
<output>0.02</output>

<gadget id="calculator">0.02 + 12</gadget>
<output>12.02</output>

<result>12.02</result>