cuboid tank measures 5dm in length, 4dm in width and 6dm in height. There is some water in the water tank, and a conical iron piece with a bottom diameter of 2dm is completely submerged in the water, and the water level in the tank rises by 1.57cm (the water does not overflow). What is the height of this conical piece of iron?
一个长方体水箱，从里面量得长5dm，宽4dm，高6dm．水箱里盛放着一些水，把一个底面直径是2dm的圆锥形铁件完全浸没水中，箱内水面升高了1.57cm(水没有溢出)．这个圆锥形铁件的高是多少分米？
<gadget id="calculator">1.57 / 10</gadget>
<output>0.157</output>

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

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

<gadget id="calculator">1 * 5 * 4 * 0.157</gadget>
<output>3.14</output>

<gadget id="calculator">3 / 3.14</gadget>
<output>0.955414</output>

<gadget id="calculator">5 * 4 * 0.157 * 0.955414</gadget>
<output>3</output>

<result>3</result>