Math
Cone and Frustum Calculator
Calculate volume and open or closed surface area for a right circular frustum, including a cone.
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How to use Cone and Frustum Calculator
Volume is πh(R²+Rr+r²)/3. Lateral area is π(R+r)×hypot(h,R−r); closed area adds both circular end disks.
- Enter bottom radius, top radius (0 for cone), height.
- Check the model, units, and supported limits before calculating.
- Run the tool, inspect the result, then copy or download it.
Good to know
- Nonnegative radii with at least one positive, positive height, consistent units. An ideal solid is modeled; no wall thickness or fill level.
- Runs locally. Numeric inputs are bounded; floating-point output is approximate and rounded to 12 significant digits. Unsupported or non-finite calculations produce an error.
Common questions
How does Cone and Frustum Calculator calculate its result?
Volume is πh(R²+Rr+r²)/3. Lateral area is π(R+r)×hypot(h,R−r); closed area adds both circular end disks.
What assumptions and boundaries apply?
Nonnegative radii with at least one positive, positive height, consistent units. An ideal solid is modeled; no wall thickness or fill level.
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