把一个高是4厘米的圆柱体沿着底面直径垂直切开,将圆柱分成两半,它的表面积增加了32平方厘米,这个

圆柱的体积是多少? 要过程讲解使我明白哦。
2025-04-08 08:51:00
推荐回答(4个)
回答(1):

你好:

它的表面积增加了2个面,都是长方形,分别以圆柱的底面直径和高为长宽。

底面直径=32÷2÷4=4(厘米)
底面积=3.14×(4÷2)²=12.56(平方厘米)
体积=12.56×4=50.24(立方厘米)

回答(2):

把圆柱这样切开,多了两个长为圆柱的高,宽为圆柱的底面直径的长方形,所以先用32÷2=16cm²,这样就求出了一个长方形的面积,再用16÷4=4cm,这样算出的是长方形的宽,也就是圆柱的地面直径,接着用4÷2=2cm,得出圆柱的底面半径,再用圆柱的体积公式:底面积×高,也就是:2²π×4≈50.24cm³

回答(3):

首先,圆柱体垂直切开,增加的表面积是两个长方形,且其中一个边长是4。设长方形面积为S,则S*2=32。所以S=16。那么设圆柱体直径为r,则有4*r=16,那么r=4。于是可以知道该圆柱体的底面半径为2。则圆柱体体积V=πr*r*h=3.14*2*2*4=50.24(立方厘米)

回答(4):

由于切口两个以上相同的矩形区域后,可以得到一个矩形区域?6平方分米。因为矩形的长度是圆柱的高度,宽度和直径的圆柱体,和高度的4分米因此,气缸的直径是1.5分米(dm)的半径为0.75。

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