Divide the bottom of a cylinder with a base radius of 3 decimeters into several sectors on average, cut it and assemble it into a cuboid with the same base and height, and the surface area increases by 16 square decimeters. What is the volume of this cylinder?
将一个底面半径为3分米的圆柱体的底面平均分成若干个扇形，截开拼成一个和它等底等高的长方体后，表面积增加了16平方分米，这个圆柱体的体积是多少？
<gadget id="calculator">16 / 2 / 3</gadget>
<output>8/3 = around 2.666667</output>

<gadget id="calculator">3.14 * 3 * 3 * (8/3)</gadget>
<output>75.36</output>

<result>75.36</result>