A cylindrical water tank has a bottom area of 12.56 square decimeters measured from the inside and a height of 10 decimeters. Inside is a conical hammer with a bottom radius of 10 centimeters. After the water is filled first, then the hammer is taken out, and the water level drops by 5 cm. What is the height of this hammer?
一个圆柱形的水缸，从里测得底面积是12.56平方分米，高10分米，里面装有一底面半径是10厘米的圆锥形的铁锤．先装满水后，再将铁锤拿出，水面下降了5厘米．这个铁锤的高是多少？
<gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">10 / 10</gadget>
<output>1</output>

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

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

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

<gadget id="calculator">12.56 * (1/2) * 0.955414</gadget>
<output>6</output>

<result>6</result>