Question
In python, A cylindrical tank diameter D=10 m with standard semi-ellipsoidal heads contains a liquid of volume V = 45 m3. What is the depth,
In python, A cylindrical tank diameter D=10 m with standard semi-ellipsoidal heads contains a liquid of volume V = 45 m3. What is the depth, h, of the liquid? According to standard formulas, the Volume of the tank, filled to a depth h is V = D3 * C * (pi/12) * [ 3 * (h/D)2 - 2 * (h/D)3 ] where C = 1/2. First, decide the maximum and minimum possible value for h. Hints: Find the volume for an arbitrary depth h, find the difference between this and the desired volume, use root solver to find h where this difference is zero. And do we have a good guess of h or do we know the upper and lower limits for h?
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