Divide the base of a cylinder with a height of 6 decimeters into many equal sectors, and then obtain an approximate cuboid by cutting and piecing. The surface area of a cuboid is 48 square decimeters larger than that of a cylinder. What is the volume of the original cylinder in cubic decimeters?
把一个高6分米的圆柱底面分成许多相等的扇形，然后通过切拼的方法得到一个近似的长方体．长方体的表面积比圆柱的表面积增加48平方分米．原来圆柱的体积是多少立方分米？
<gadget id="calculator">48 / 2 / 6</gadget>
<output>4</output>

<gadget id="calculator">4 ** 2</gadget>
<output>16</output>

<gadget id="calculator">3.14 * 16 * 6</gadget>
<output>301.44</output>

<result>301.44</result>