There is a cone in a cylindrical glass that is not filled with water. It is known that the diameter of the bottom of the glass is 24, the height of the water level is 20cm, the diameter of the bottom of the cone is 12cm, and the height is 18cm. If the cone is taken out, how many centimeters will the water level drop? (neglect loss)
未装满水的圆柱形玻璃杯内有一个圆锥，已知玻璃杯的底面直径是24，水位高20cm，圆锥的底面直径是12cm，高18cm，如果把圆锥取出来，水面会下降多少厘米？(忽略损耗不计)
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">6 ** 2</gadget>
<output>36</output>

<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">12 ** 2</gadget>
<output>144</output>

<gadget id="calculator">3.14 * 144</gadget>
<output>452.16</output>

<gadget id="calculator">18 / 452.16</gadget>
<output>0.039809</output>

<gadget id="calculator">(1/3) * 3.14 * 36 * 0.039809</gadget>
<output>1.500003</output>

<result>1.500003</result>