After cutting a cylinder with a length of 60 cm into two small cylinders, one long and one short, according to the ratio of 3:2, the total surface area increases by 30 square centimeters. What is the volume in cubic centimeters of the longer cylinder cut into it?
把长60厘米的圆柱体按3：2截成了一长一短两个小圆柱体后，表面积总和增加了30平方厘米．截成的较长一个圆柱的体积是多少立方厘米．
<gadget id="calculator">30 / 2</gadget>
<output>15</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">60 * (3/5)</gadget>
<output>36</output>

<gadget id="calculator">15 * 36</gadget>
<output>540</output>

<result>540</result>