Solids of Revolution
Calculator controls
Ready
Example: y = sqrt(x). Add a constraint such as , x >= 0 to choose a branch.
A number or expression such as pi/2. Leave empty to find the intersection automatically.
A line such as y = -1 or x = 0.
Slice thickness
Turn on Show slice first.
Arrow keys rotate, Shift plus arrow keys pan, plus and minus zoom, Home resets the view.
Help
Typing equations
- “sqrt(x)”: square root of x
- “x^2”: x squared
- “x^(1/3)”: cube root of x
- “sin(x)”: sine, in radians
- “arcsin(x)”: inverse sine
- “ln(x)”: natural logarithm
- “pi” and “e”: the constants
- Add “, x >= 0”: keep x ≥ 0
- Add “, [0, inf)”: keep 0 and up
Bounds and axis
- From, To: a number or “pi/2”
- Empty bound: use intersection
- Axis: “y = -1” or “x = 0”
Graph and slices
- Turn on Show slice first
- Graph: arrow keys rotate
- Shift with arrows pans
- Plus, minus zoom; Home resets
- Reset keeps your inputs
Graph description
Applied region
Slice relationships
This builds the volume integral. It does not evaluate the final volume.
Rotate
Pan
Zoom