If a cylinder with a height of 8 decimeters is cut into two smaller cylinders with the same base, the surface area will increase by 12 decimeters squared. Find the volume of the original cylinder.
若把高为8分米的圆柱截成两个等底的小圆柱，表面积就增加了12平方分米，求原来圆柱的体积．
<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">6 * 8</gadget>
<output>48</output>

<result>48</result>