cylinder of wood has a lateral area of 37.68 square decimeters and a height of 4 decimeters. If it is processed into the largest cone, what is the volume of this cone?
一个圆柱体木料，它的侧面积是37.68平方分米，高4分米，把它加工成一个最大的圆锥体，这个圆锥体的体积是多少？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">37.68 / 3.14 / 4 / 2</gadget>
<output>1.5</output>

<gadget id="calculator">1.5 ** 2</gadget>
<output>2.25</output>

<gadget id="calculator">(1/3) * 3.14 * 2.25 * 4</gadget>
<output>9.42</output>

<result>9.42</result>