The volume of a cylindrical glass is 800 ml, and the ratio of the height of the water in the glass to the height of the water surface from the mouth of the glass is 1:1. A cone with a height of 8 cm is completely submerged in water. The ratio of the height of the water to the height of the water surface from the mouth of the cup is 3:2. What is the area of the bottom of the cone?
一个圆柱形玻璃杯的容积是800毫升，杯里水的高度和水面离杯口的高度比为1：1．将一个高8厘米的圆锥完全浸没在水中，水的高度和水面离杯口的高度比为3：2，求圆锥的底面积是多少？
<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">1 + 1</gadget>
<output>2</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(3/5) - (1/2)</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">800 * (1/10)</gadget>
<output>80</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">80 * (3/8)</gadget>
<output>30</output>

<result>30</result>