A cylinder with a height of 45 cm is cut into two small cylinders according to the ratio of 3:2. After cutting, the surface area is increased by 32 square centimeters. What is the difference in volume between the two small cylinders?
把高是45厘米的圆柱按3：2的比例截成两个小圆柱，截取后表面积比原来增加了32平方厘米．这两个小圆柱的体积相差多少？
<gadget id="calculator">32 / 2</gadget>
<output>16</output>

<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">45 * (3/5)</gadget>
<output>27</output>

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">45 * (2/5)</gadget>
<output>18</output>

<gadget id="calculator">27 - 18</gadget>
<output>9</output>

<gadget id="calculator">16 * 9</gadget>
<output>144</output>

<result>144</result>