Divide the base of a cylinder with a height of 3 decimeters into several sectors on average, then cut the cylinder to form an approximate cuboid with the same base and height, and the surface area of the cuboid is 20 square decimeters larger than the surface area of the cylinder. What is the volume of the original cylinder?
把一个高3分米的圆柱体底面平均分成若干个扇形，然后把圆柱体切开，拼成一个与它等底等高的近似长方体，长方体的表面积比圆柱体的表面积增加20平方分米，原来圆柱体的体积是多少？
<gadget id="calculator">20 / 2 / 3</gadget>
<output>10/3 = around 3.333333</output>

<gadget id="calculator">(10/3) ** 2</gadget>
<output>100/9 = around 11.111111</output>

<gadget id="calculator">3.14 * (100/9) * 3</gadget>
<output>104.666667</output>

<result>104.666667</result>