数学题:把圆柱平均分成若干份后拼成一个长方体
- 时间:2020-06-07 17:57:17
- 分类:数学世界
- 阅读:126 次
数学题:把一个底面半径是2分米的圆柱,分成若干份后拼成一个长方体,表面积增加了12平方分米,这个圆柱的体积是多少立方分米?(由“笑笑-资优网”提供)
数学题解答:看下图,先在图中找出表面积增加的部分。增加的部分实际上是两个长方形,位于图中长方体的左右两侧,都是由半径乘高算出面积的。

所以每个长方形的面积是:12 ÷ 2=6(平方分米)
再算出圆柱的高:6 ÷ 2 = 3(分米)
最后算圆柱的体积:3.14×22×3=37.68(平方分米)
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