Cut a 4-meter-long cylinder into two small cylinders along the cross-section, and the surface area increases by 18.84 square meters. What is the volume of the cone with the same base and height as the original cylinder?
把一个4米长的圆柱沿横截面截成两个小圆柱，表面积增加了18.84平方米，与原来这个圆柱等底等高的圆锥的体积是多少立方米．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">18.84 / 2</gadget>
<output>9.42</output>

<gadget id="calculator">(1/3) * 9.42 * 4</gadget>
<output>12.56</output>

<result>12.56</result>