In a cylindrical bottle with a bottom radius of 10 cm and a height of 20 cm, and a water depth of 8 cm, a piece of iron with a length and width of 8 cm and a height of 15 cm should be placed in the bottle. Put the iron block vertically in the water so that the bottom surface is in contact with the bottom surface of the container. How deep is the water at this time?
在一只底面半径是10厘米，高是20厘米的圆柱形瓶中，水深是8厘米，要在瓶中放入长和宽都是8厘米，高是15厘米的一块铁块．把铁块竖着放在水中，使底面与容器底面接触，这时水深几厘米？
<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>