There is a piece of cylindrical wood with a height of 5 decimeters. If it is sawn vertically along the diameter of the bottom surface, the surface area will increase by 32 square decimeters compared to the original one. Find the volume of this piece of wood.
有一段圆柱形木料，高5分米，如果沿底面直径把它垂直锯开，这样表面积比原来增加了32平方分米，求这段木料的体积｡
<gadget id="calculator">32 / 2 / 5</gadget>
<output>16/5 = around 3.2</output>

<gadget id="calculator">(16/5) / 2</gadget>
<output>8/5 = around 1.6</output>

<gadget id="calculator">(8/5) ** 2</gadget>
<output>64/25 = around 2.56</output>

<gadget id="calculator">3.14 * (64/25) * 5</gadget>
<output>40.192</output>

<result>40.192</result>