Divide the bottom surface of a cylinder with a height of 6 decimeters into many equal small sectors, and then spread the cylinder along the small sectors to form an approximate cuboid with the same base and height. The surface area of the cuboid is 48 square decimeters larger than that of the cylinder, find the volume of the cylinder.
把一个高是6分米的圆柱的底面分成许多个相等的小扇形，然后把这个圆柱沿着小扇形展开，拼成一个与它等底等高的近似长方体．这个长方体的表面积比圆柱增加了48平方分米，求圆柱的体积．
<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>