Frustum Volume Calculator
Find truncated cone volume from two radii and height
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Frustum Volume Formula
V = (1 / 3)πh(R² + Rr + r²)
A circular frustum is the solid left after cutting the top from a cone. Its volume uses both circular radii and the vertical height between them.
⚠ Both radii and height must be positive. R and r can be entered in either order, but they should use the same unit.
How Frustum Volume Works
The formula blends the areas of the two circular ends with a middle term Rr. It gives the volume of the tapered solid between the two circles.
Larger Radius
Radius of the wider circular end.
Smaller Radius
Radius of the narrower circular end.
Vertical Height
Straight distance between the bases.
Tapered Shape
Volume sits between cone and cylinder behavior.
💡 Example: For R=6, r=3, and h=10, V=(1/3)π(10)(36+18+9)=659.734.
Applications of Frustum Volume
Buckets
Tapered Tanks
Lampshades
Engineering Estimates
Frequently Asked Questions
What is a frustum volume calculator?▼
It calculates the volume of a truncated cone from two radii and height.
What is the frustum volume formula?▼
The formula is V = (1/3)πh(R² + Rr + r²).
How do I use this calculator?▼
Enter the larger radius, smaller radius, and vertical height, then click Calculate.
Is a frustum the same as a cone?▼
A frustum is a cone with the top cut off parallel to the base.
Where is frustum volume used?▼
It is used for buckets, lampshades, tapered tanks, funnels, molds, and engineering estimates.
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