Question

请帮忙计算横卧式油罐在知道装油高度时的容积

Answer 1

这是一个更复杂的例子:

更正了一下:

这是你要的结果:

L = 3.4; d = 2.1;

体积公式:

L*d^2*(ArcCos[1 - 2 h/d] - Sin[ArcCos[1 - 2 h/d]]*Cos[ArcCos[1 - 2 h/d]])/4},{h,0,2.1,0.1}]

{高度,油的体积}

{0,0},

{0.1,0.20474995},

{0.2,0.57050232},

{0.3,1.0319527},

{0.4,1.5634832},

{0.5,2.1489395},

{0.6,2.7763925},

{0.7,3.4362115},

{0.8,4.1201415},

{0.9,4.8207841},

{1.,5.531265},

{1.1,6.2449951},

{1.2,6.9554759},

{1.3,7.6561186},

{1.4,8.3400486},

{1.5,8.9998675},

{1.6,9.6273205},

{1.7,10.212777},

{1.8,10.744307},

{1.9,11.205758},

{2.,11.57151},

{2.1,11.77626}