Cross-Sectional Solid
y = x², x ∈ [0, 2]
Cross-sections ⊥ x-axis:
Equilateral △
with side
s = x²
Area: A(x) =
√3/4 · x⁴
V = ∫₀²
√3/4 · x⁴
dx =
8√3/5 ≈ 2.7713
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Base edges (parabola, y=0)
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Apex edge (height = √3/2·x²)
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Sample cross-sections
Controls
Opacity:
82%
Wireframe ON
Drag to rotate · Auto-rotating