Divide the bottom of a cylinder into many equal sectors, cut along the height, and put together an approximate cuboid. The surface area increases by 180 square centimeters. If the height of this cylinder is 10 centimeters, what is the volume in cubic centimeters?
把一个圆柱的底面分成许多相等的扇形，沿高切开后，拼成一个近似的长方体，表面积增加了180平方厘米，如果这个圆柱的高是10厘米，体积是多少立方厘米？
<gadget id="calculator">180 / 2 / 10</gadget>
<output>9</output>

<gadget id="calculator">9 ** 2</gadget>
<output>81</output>

<gadget id="calculator">3.14 * 81 * 10</gadget>
<output>2_543.4</output>

<result>2_543.4</result>