数学题:利用图中的阴影部分刚好可以做成一个圆柱形油桶
- 时间:2020-05-05 19:39:23
- 分类:数学世界
- 阅读:142 次
数学题:如图一块长方形铁皮,利用图中的阴影部分刚好可以做成一个圆柱形油桶(接头处忽略不计),求这个油桶的容积。
题目也可以改成:如图是一个长方形铁皮,把铁皮按阴影部分剪下,刚好能焊接成一个容积最大的铁皮水桶(焊接处忽略不计)。这个铁桶能装水多少克?(每立方米水重1kg,结果保留着整数)

数学题解答:从图中可以看出,16.56厘米是圆柱的底面周长+底面直径,而底面周长=圆周率×直径,所以可以先算出直径:
16.56÷(3.14+1)=4(厘米)
底面半径就是4÷2=2(厘米)
再看圆柱的高,其实就是底面直径的2倍。4×2=8(厘米)
圆柱油桶的容积是:3.14×22×8=100.48(毫升)
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