已知球O与三棱柱ABC-A1B1C1的各个面都相切,且AA1垂直于平面ABC,若三棱柱ABC-A1B1C1的表面积是27,三角形ABC的周长为6√3,则球O的体积为A.√2/3*π B.√3/3*π C.√3/2*π D.3√3/2*π
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 12:06:58
![已知球O与三棱柱ABC-A1B1C1的各个面都相切,且AA1垂直于平面ABC,若三棱柱ABC-A1B1C1的表面积是27,三角形ABC的周长为6√3,则球O的体积为A.√2/3*π B.√3/3*π C.√3/2*π D.3√3/2*π](/uploads/image/z/14611538-2-8.jpg?t=%E5%B7%B2%E7%9F%A5%E7%90%83O%E4%B8%8E%E4%B8%89%E6%A3%B1%E6%9F%B1ABC-A1B1C1%E7%9A%84%E5%90%84%E4%B8%AA%E9%9D%A2%E9%83%BD%E7%9B%B8%E5%88%87%2C%E4%B8%94AA1%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%B9%B3%E9%9D%A2ABC%2C%E8%8B%A5%E4%B8%89%E6%A3%B1%E6%9F%B1ABC-A1B1C1%E7%9A%84%E8%A1%A8%E9%9D%A2%E7%A7%AF%E6%98%AF27%2C%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E5%91%A8%E9%95%BF%E4%B8%BA6%E2%88%9A3%2C%E5%88%99%E7%90%83O%E7%9A%84%E4%BD%93%E7%A7%AF%E4%B8%BAA.%E2%88%9A2%2F3%2A%CF%80+B.%E2%88%9A3%2F3%2A%CF%80+C.%E2%88%9A3%2F2%2A%CF%80+D.3%E2%88%9A3%2F2%2A%CF%80)
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