Volume of Revolution — Interactive Calculus Tool

Volume of Revolution

Rotate a region. Build a solid. See calculus come alive.

Equation 1

y =

Use 2 equations (rotate the region between two curves)

Axis of Rotation

y = x =

y =

X-Bounds

x fromto

Click & drag to orbit · Scroll to zoom · Right-click & drag to pan Drag to orbit · Pinch to zoom

How to use: Enter an equation (or two!) like x^2, sin(x), sqrt(x), or 1/x. Click Graph! to see the curve and the shaded 2D region. Then click Rotate! to watch that region sweep into a 3D solid you can explore from every angle.