In a cylindrical container with a bottom area of 3600cm**2, a cylindrical iron rod with a length of 100cm and a bottom area of 225cm**2 is placed upright. At this time, the water depth in the container is 50cm. Now lift the iron rod upwards slightly by 24cm. How many centimeters longer is the cylindrical iron rod exposed to the water than the submerged part?
在底面积是3600cm**2的圆柱形容器里，直立放着一个长是100cm，底面积是225cm**2的圆柱形铁棒．这时容器里的水深50cm．现在把铁棒轻轻向上方提起24cm，露出水面的圆柱形铁棒比沉浸部分长多少厘米？
<gadget id="calculator">3_600 - 225</gadget>
<output>3_375</output>

<gadget id="calculator">24 / 3_375</gadget>
<output>8/1_125 = around 0.007111</output>

<gadget id="calculator">225 * (8/1_125)</gadget>
<output>8/5 = around 1.6</output>

<gadget id="calculator">24 + (8/5)</gadget>
<output>128/5 = around 25.6</output>

<gadget id="calculator">50 + (128/5)</gadget>
<output>378/5 = around 75.6</output>

<gadget id="calculator">100 - (378/5)</gadget>
<output>122/5 = around 24.4</output>

<gadget id="calculator">(378/5) - (122/5)</gadget>
<output>256/5 = around 51.2</output>

<result>256/5 = around 51.2</result>