Given the following set of equations:
v == Pi (L R^2 + 1/12 L^3 Tan[Alpha]^2) o == 1/2 Pi (4 R (L + R) + L^2 Tan[Alpha]^2)
I can solve this with
Solve if for
R when I give the following constraints
constraints = 0 <= Tan[Alpha]^2 <= (4 R^2)/L^2 && R > 0 && L > 0
But when I try to solve it with
constraints = -ArcTan[(2 R)/L] <= Alpha <= ArcTan[(2 R)/L] && R > 0 && L > 0
Solve refuses to solve the equation. Why is that? In my case the second formulation would be better, because it restrains
Alpha to exactly one interval and not many.
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