In a cylindrical container with a bottom radius of 10cm and a height of 20cm, and a water depth of 8cm, a piece of iron with a length and width of 8cm and a height of 15cm should be placed in the container, and the iron piece should be placed vertically in the water so that What is the depth of the water in centimeters when the bottom surface is in contact with the bottom surface of the container?
在一只底面半径是10cm，高是20cm的圆柱形容器中，水深8cm，要在容器中放入长和宽都是8cm，高是15cm的一块铁块，把铁块竖放在水中，使底面与容器底面接触，这时水深是多少厘米？
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>

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

<gadget id="calculator">8 * 8</gadget>
<output>64</output>

<gadget id="calculator">314 - 64</gadget>
<output>250</output>

<gadget id="calculator">8 / 250</gadget>
<output>4/125 = around 0.032</output>

<gadget id="calculator">3.14 * 100 * (4/125)</gadget>
<output>10.048</output>

<result>10.048</result>