There is a cylindrical container with a height of 24 cm and a bottom radius of 10 cm, which is half filled with water. There is a cylindrical wooden rod with a length of 30 cm and a bottom radius of 2 cm. How many centimeters does the water level rise when the stick is placed vertically in the container so that the bottom of the stick is in contact with the bottom of the container?
有一个高24厘米，底面半径为10厘米的圆柱形容器，里面装了一半水，现有一根长30厘米，底面半径为2厘米的圆柱体木棒．将木棒竖直放入容器中，使棒的底面与容器的底面接触，这时水面升高了多少厘米？
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>

<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">3.14 * 100 * 12</gadget>
<output>3_768</output>

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

<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>

<gadget id="calculator">314 - 12.56</gadget>
<output>301.44</output>

<gadget id="calculator">3_768 / 301.44</gadget>
<output>12.5</output>

<gadget id="calculator">12.5 - 12</gadget>
<output>0.5</output>

<result>0.5</result>