A cylinder with a height of 60 cm is cut into two cylinders according to the ratio of 5:1, and the surface area after cutting is increased by 50 square centimeters compared to the original one. What is the volume of the smaller cylinder?
把高是60厘米的圆柱按5：1的比截成两个圆柱，截取后表面积比原来增加了50平方厘米．较小圆柱的体积是多少？
<gadget id="calculator">50 / 2</gadget>
<output>25</output>

<gadget id="calculator">5 + 1</gadget>
<output>6</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">60 * (1/6)</gadget>
<output>10</output>

<gadget id="calculator">25 * 10</gadget>
<output>250</output>

<result>250</result>