In a cylindrical container filled with water, a cylindrical glass rod (solid) is vertically inserted. The height of the water in the container is 80 cm, and the length of the glass rod immersed in the water is greater than 40 cm. It is known that the diameter of the inner bottom of the container is 20 cm, and the diameter of the bottom of the glass rod is 5 cm. Now lift the glass rod 30 centimeters upward slightly. What is the length of the part of the glass rod that is exposed to the water and is soaked in centimeters?
在一个装有水的圆柱形容器内，竖直插有一根圆柱形玻璃棒(实心)，此容器内水的高度为80厘米，玻璃棒浸没在水中的长度大于40厘米．已知容器内侧底面直径为20厘米，玻璃棒的底面直径为5厘米．现在把这根玻璃棒轻轻向正上方提起30厘米，问玻璃棒露出水面且被浸湿的部分的长度是多少厘米？
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>

<gadget id="calculator">(5/2) ** 2</gadget>
<output>25/4 = around 6.25</output>

<gadget id="calculator">3.14 * (25/4) * 30</gadget>
<output>588.75</output>

<gadget id="calculator">20 / 2</gadget>
<output>10</output>

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

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

<gadget id="calculator">3.14 * (25/4)</gadget>
<output>19.625</output>

<gadget id="calculator">314 - 19.625</gadget>
<output>294.375</output>

<gadget id="calculator">588.75 / 294.375</gadget>
<output>2</output>

<gadget id="calculator">30 + 2</gadget>
<output>32</output>

<result>32</result>