数学题:有一个底面周长为9.42厘米的圆柱体,斜着截去一段

  • 时间:2020-05-07 11:42:14
  • 分类:数学世界
  • 阅读:124 次

数学题:有一个底面周长为9.42厘米的圆柱体,斜着截去一段,求截后的体积。(请看下图,要过程。由于拍照角度的原因,看起来圆柱一头粗、一头细,实际上是一样粗的。)

斜着切的圆柱

数学题解答:可以再用一个与图中同样的物体,让它们拼合成一个普通的圆柱,这样每个物体的体积,就是拼成的圆柱的体积的一半。如下图:

拼成的圆柱

这个拼成的圆柱的底面周长是9.42厘米,高是(4+6)厘米。它的体积是:

3.14×(9.42÷3.14÷2)2×(4+6)=70.65(立方厘米)

图中物体的体积:70.65÷2=35.325(立方厘米)

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