cylindrical piece of wood, when cut at a distance of 4 decimeters from its midpoint, increases its surface area by 8 square decimeters. It is known that the ratio of the shorter length to the longer length is 3:5, what is the original volume of this piece of wood in cubic decimeters?
一根圆柱形木材，从距中点4分米处截断后，表面积增加了8平方分米．已知较短的一截与较长一截长度的比是3：5，这根木材的原体积是多少立方分米？
<gadget id="calculator">8 / 2</gadget>
<output>4</output>

<gadget id="calculator">5 + 3</gadget>
<output>8</output>

<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">(5/8) - (3/8)</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">2 / (1/4)</gadget>
<output>8</output>

<gadget id="calculator">4 * 4 * 8</gadget>
<output>128</output>

<result>128</result>