A cylinder with the same base diameter and height is cut vertically along any diameter into two pieces of the same size and shape, and the surface area is increased by 72 square centimeters. Find the volume of the cylinder.
将一个底面直径和高相等的圆柱沿任一直径竖直往下切成大小形状都完全相同的两块，表面积增加72平方厘米，求此圆柱的体积．
<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">3 ** 2</gadget>
<output>9</output>

<gadget id="calculator">3.14 * 9 * 6</gadget>
<output>169.56</output>

<result>169.56</result>