A cylindrical iron bucket is half filled with water. After pouring out (2/3), there is still 6 liters left. The height of the bucket is known to be 4 decimeters. Find the area of the bottom of the bucket.
一个圆柱铁桶，里面装了一半水，倒出(2/3)后，还剩6升，已知桶高4分米，求这个桶的底面积．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(1/2) * (2/3)</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/2) - (1/3)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">6 / (1/6) / 4</gadget>
<output>9</output>

<result>9</result>