如图，已知点P在圆柱OO1的底面圆O上，AB为圆O的直径，圆柱的侧面积为16π，OA=2，∠AOP=120°．试求三棱锥A1﹣APB的体积．_刷题宝

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如图，已知点P在圆柱OO₁的底面圆O上，AB为圆O的直径，圆柱的侧面积为16π，OA=2，∠AOP=120°．试求三棱锥A₁﹣APB的体积．

上一题下一题 0.0难度选择题更新时间:2016-10-09 12:54:15

答案(点此获取答案解析）

解：S_圆柱侧=2π•OA•AA₁=4π•AA₁=16π，

∴AA₁=4，

∵∠AOP=120°，OA=OP=2，

∴AP=2 3 ，BP= <

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