正方体铁块熔铸成圆锥形问题：把一块棱长10厘米的正方体铁块熔铸成一个底面直径是20厘米的圆锥形铁块。这个圆锥形铁块的高约是多少厘米？

数学题解答：铁块熔铸前后的形状改变了，但体积并没有改变，所以正方体的体积与圆锥形的体积相等，算出了正方体的体积，就知道了圆锥体的体积，最后根据“圆锥的体积＝1/3　×　底面积　×　高”可以推出“圆锥的高＝圆锥体积　÷　1/3　÷　底面积”。

算式如下：

正方体的体积（也是圆锥的体积）：10×10×10＝1000（立方厘米）

圆锥的底面积：3.14×（20÷2）²＝314(平方厘米)

圆锥的高：1000　÷　1/3　÷　314　≈9.55（厘米）

答：这个圆锥的高大约是9.55厘米。

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