Divide the bottom of a cylinder with a base radius of 4 cm into several equal parts, then cut the cylinder and assemble it into an approximate cuboid with the same base and height. The surface area of the assembled cuboid is 16 square centimeters larger than that of the cylinder. What is the volume of the cylinder in cubic centimeters.
把一个底面半径为4厘米的圆柱体的底面分成若干等份，然后把圆柱切开，拼成一个和它等底等高的近似长方体．拼成的长方体的表面积比圆柱的表面积增加了16平方厘米．圆柱体的体积是多少立方厘米．
<gadget id="calculator">16 / 2 / 4</gadget>
<output>2</output>

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

<gadget id="calculator">3.14 * 16 * 2</gadget>
<output>100.48</output>

<result>100.48</result>