Cut a conical pastry in half along the height perpendicular to the bottom surface, the surface area increases by 36 square centimeters compared to the original one, and the measured height of the conical pastry is 9 cm, what is the original volume of this pastry in cubic centimeters?
将一块圆锥形糕点沿着高垂直于底面切成两半，表面积比原来增加了36平方厘米，测得圆锥形糕点的高是9厘米，原来这块糕点的体积是多少立方厘米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">36 / 2</gadget>
<output>18</output>

<gadget id="calculator">2 / 9 / 2</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">18 * (1/9)</gadget>
<output>2</output>

<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">(1/3) * 3.14 * 4 * 9</gadget>
<output>37.68</output>

<result>37.68</result>