When a cylinder with a height of 16 cm is cut into two smaller cylinders of equal volume, the surface area increases by 24 cm2. Now cut one of the small cylinders into the largest cone, what is the volume of the cone?
把一个高16厘米的圆柱体截成两个体积相等的小圆柱体后，表面积增加了24平方厘米．现把其中一个小圆柱体削成体积最大的圆锥体，圆锥体的体积是多少．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">16 / 2</gadget>
<output>8</output>

<gadget id="calculator">(1/3) * 12 * 8</gadget>
<output>32</output>

<result>32</result>