∮ Volume of Revolution - 3D Visualization

Explore how revolving a 2D curve around an axis creates a 3D solid and its volume.

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Drag to Rotate, Scroll to Zoom

📊 Function Selection

⚙️ Function Parameters

Vertical Scaling (A): 1.0

Horizontal Scaling (B): 1.0

Vertical Shift (D): 0.0

📏 Revolution Bounds

Lower Bound (a): 0.5

Upper Bound (b): 2.0

🎛️ Revolution Settings

Revolution Angle: 360°

Surface Segments: 32

🎬 Visualization Controls

f(x) = x²

Volume ≈ 0.000

Volume = $π ∫_a^b [f(x)]^2 dx$ (revolving around x-axis)