cuboid container, measured from the inside, has a length of 15cm and a width of 12cm. The container is filled with water at a depth of 10cm. When a conical metal part with a radius of 5cm is placed in the container to fully immerse it in the water, the water level rises to 11.57cm. , what is the height of this conical part?
一个长方体的容器，从里面量，长15cm，宽12cm，容器内装有10cm深的水，当放入一个底面半径为5cm的圆锥形金属零件使其全部浸人水中时，水面升高到11.57cm，这个圆锥形零件的高是多少？
<gadget id="calculator">11.57 - 10</gadget>
<output>1.57</output>

<gadget id="calculator">15 * 12 * 1.57</gadget>
<output>282.6</output>

<result>282.6</result>