Cast a cylindrical steel with a base area of 12.56 square decimeters and a height of 6 decimeters into a cone with a bottom area of 28.26 square decimeters. What is the height of this cone?
把一个底面积是12.56平方分米，高6分米的圆柱形钢材，铸成一个底面积是28.26平方分米的圆锥，这个圆锥的高是多少分米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">6 / (1/3) / 28.26</gadget>
<output>0.636943</output>

<gadget id="calculator">12.56 * 0.636943</gadget>
<output>8.000004</output>

<result>8.000004</result>