Divide the bottom surface of a cylinder with a height of 3 meters into many equal sectors, and then cut the cylinder to form an approximate cuboid with the same base and height. The surface area of the cylinder is 12 square meters larger than that of the cylinder. The original cylinder What is its volume?
把一个高为3米的圆柱体的底面分成许多相等的扇形，然后把圆柱体切开拼成一个与它等底等高的近似长方体的表面积比圆柱体的表面积增加了12平方米，原来圆柱的体积是多少？
<gadget id="calculator">12 / 2 / 3</gadget>
<output>2</output>

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

<gadget id="calculator">3.14 * 4 * 3</gadget>
<output>37.68</output>

<result>37.68</result>