α

Volume(m^{3})

α(rad)

CQFD - 1ère Spé Math

O = Intersect(xAxis, yAxis)
r = 2 (slider from 0.01 to 10, step 0.01)
c = Circle(O, r)
I: (r, 0)
α = 0.33161255787892263 rad (slider from 0 to (1.57079633 * rad), step 0.017453292519943295)
A = Rotate(I, α, O)
β = Angle(I, O, A)
A' = Mirror(A, O)
R = Mirror(A', yAxis)
a = Segment(A', A)
d = Semicircle(A, A')
b = Segment(O, R)
f(x, y) = y > (-sqrt(r^(2) - x^(2))) ∧ y < y(R)
e = OrthogonalLine(A', xAxis)
eau = 2.01 (slider from 0 to 2.5, step 0.01)
v: (0, -0.5)
B: A' + ((eau * 10) * v)
C: B + v
C' = Rotate(C, 5°, B)
γ = Angle(C, B, C')
C'' = Mirror(C', e)
g = CircleSector(B, C'', C')
h = CircleSector(O, A', A)
i = Segment(O, I)
p(x) = If[0 ≤ x ≤ π / 2, (20 * (π / 2 - x - (cos(x) * sin(x))))]
D: (α, (20 * (π / 2 - α - (cos(α) * sin(α)))))
j: y(D)
texte2: "Volume ≈ " + j + " m³"