等边三角形的边长为2,它绕其一边所在的直线旋转一周,则所得旋转体

等边三角形的边长为2,它绕其一边所在的直线旋转一周,则所得旋转体的体积是         .

答案

2π


解析:

该几何体是两个以3为底,以1为高的圆锥的组合体,∴V=π·()2×2=2π.

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