A cylindrical container with a base radius of 5 cm and a height of 15 cm contains some water but is not full. When a conical iron block with a diameter of 8 cm and a height of 12 cm is completely submerged in water, the water in the container overflows by 43.96 ml. Find the height of the original water in the container.
在一个底面半径是5厘米，高是15厘米的圆柱形容器里装有一些水但未满．当把一个直径为8厘米，高12厘米的圆锥形铁块放入水中完全浸没时，容器中的水溢出43.96毫升．求容器中原来水的高度．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">8 / 2</gadget>
<output>4</output>

<gadget id="calculator">4 ** 2</gadget>
<output>16</output>

<gadget id="calculator">(1/3) * 3.14 * 16 * 12</gadget>
<output>200.96</output>

<gadget id="calculator">200.96 - 43.96</gadget>
<output>157</output>

<gadget id="calculator">5 ** 2</gadget>
<output>25</output>

<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>

<gadget id="calculator">157 / 78.5</gadget>
<output>2</output>

<gadget id="calculator">15 - 2</gadget>
<output>13</output>

<result>13</result>