glass container is filled with a portion of water, and a conical plumb weight 6 cm high is immersed in the water. When the lead weight is taken out of the water, the water level drops by 0.5 cm. The diameter of the bottom surface of the container is known to be 1.2 decimeters. What is the area of the bottom of the conical plumb weight in square centimeters?
一个玻璃容器装有一部分水，水中浸没着一个高6厘米的圆锥形铅锤．当铅锤从水中取出后，水面下降了0.5厘米，已知容器的底面直径为1.2分米，求这个圆锥形铅锤的底面积是多少平方厘米？
<gadget id="calculator">10 / 2</gadget>
<output>5</output>

<gadget id="calculator">1.2 * 5</gadget>
<output>6</output>

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

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) * 6</gadget>
<output>2</output>

<gadget id="calculator">0.5 / 2</gadget>
<output>0.25</output>

<gadget id="calculator">3.14 * 36 * 0.25</gadget>
<output>28.26</output>

<result>28.26</result>