造纸厂生产的纸紧密地绕成筒状,从标签上知道,纸的厚度为d,要想要知道纸的总长,估测纸筒所卷绕纸的总长度L

2025-04-08 03:52:42
推荐回答(3个)
回答1:

解答:1.用刻度尺(或其他有效的方法)测出纸筒横截面的半径R1(或直径D1)及卷轴的半径R2(或直径D2)

2.纸的厚度d已知,设纸的宽度为l.根据体积关系列出:

L·ld=(πR12-πR22)l 得总长度L=(πR12-πR22)/d

回答2:

用刻度尺量出圆筒的内半径r和外半径R
则底面积为π(R^2-r^2)
设纸的宽度为L’
则纸的体积V=π(R^2-r^2)L‘
设想纸全部摊开,是一个长宽高分别为纸的长度L、纸的宽度L’、纸的厚度d
则纸的体积V=LL'd
π(R^2-r^2)L‘=LL'd
L=π(R^2-r^2)/d

应该是对的吧,希望对你有帮助。

回答3:

用质量法吧。设重G,先称出1米长的纸的重量g,G/g,就可大概知道其L。

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