A cylindrical bucket is filled with half a bucket of water. After pouring out (2/3), there are still 8 liters left. It is known that the height of the bucket is 50 cm. Find the area of the bottom of the bucket.
一个圆柱形水桶，里面装了半桶水，倒出其中的(2/3)后，还剩下8升，已知水桶高是50厘米，求水桶的底面积．
<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">50 / 10</gadget>
<output>5</output>

<gadget id="calculator">8 / (1/6) / 5</gadget>
<output>48/5 = around 9.6</output>

<result>48/5 = around 9.6</result>