A cylindrical aluminum block with a base radius of 5 cm and a height of 10 cm and a cuboid aluminum ingot with a length of 6.28 cm, a width of 5 cm and a height of 2 cm are melted and cast into a conical aluminum block with a base radius of 10 cm. The height of the cone is how many centimeters?
把一块底面半径5厘米，高10厘米的圆柱形铝块和一块长6.28厘米，宽5厘米，高2厘米的长方体铝锭，熔铸成一个底面半径10厘米的圆锥形铝块，圆锥的高是多少厘米？
<gadget id="calculator">6.28 * 5 * 2</gadget>
<output>62.8</output>

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

<gadget id="calculator">3.14 * 25 * 10</gadget>
<output>785</output>

<gadget id="calculator">62.8 + 785</gadget>
<output>847.8</output>

<gadget id="calculator">10 ** 2</gadget>
<output>100</output>

<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>

<gadget id="calculator">3 / 314</gadget>
<output>3/314 = around 0.009554</output>

<gadget id="calculator">847.8 * (3/314)</gadget>
<output>8.1</output>

<result>8.1</result>