Calculus: Shell Method

Visualize cylindrical shells formed by revolving the region between two functions around a vertical axis x = c.

Top Function f(x)

Bottom Function g(x)

Lower Bound a

Upper Bound b

Axis of Rotation x = c

Number of Shells

Highlighted Shell Position

55%

Shell radius: —

Shell height: —

Shell thickness Δx: —

Sample shell volume: —

Approx. total volume: —

Top function

Bottom function

Axis of rotation

Shells

Highlighted shell

Drag to orbit. Scroll to zoom. Red = x, green = y, blue = z.