» Volume of a Cone Frustum


Cone frustum volume calculator: calculate the volume of a truncated cone from outer and inner radii or diameters and height, convert units instantly, and reverse the formula to find a missing value.

This volume of a cone frustum calculator helps you calculate the volume of a cone frustum from the outer radius, inner radius, and height. It is useful for geometry problems, technical drawings, and practical calculations.

The calculator is also useful when you want to calculate the volume of a frustum from radii or diameters and quickly estimate the capacity of containers, hoppers, lampshades, and other frustum-shaped objects.


Volume of a cone frustum formulas

$$V= \frac{\pi h(R^2+Rr+r^2)}{3}$$







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Volume of a Cone Frustum FAQ

What is the formula for the volume of a cone frustum?
The standard formula is V = (1/3) pi h (R^2 + Rr + r^2), where R is the larger radius, r is the smaller radius, and h is the vertical height.

Can I calculate frustum volume from radii and height?
Yes. If you know the two radii and the height, the calculator can directly find the volume of the truncated cone.

Can I use diameters instead of radii?
Yes. The calculator also supports diameter-based input and converts those values internally before applying the formula.

Can I solve for a missing frustum dimension?
Yes. Reverse calculation can help you find a missing radius, diameter, or height when the volume and the other dimensions are already known.

When is a cone frustum volume calculator useful?
It is useful for hoppers, buckets, cups, nozzles, lampshades, molds, and any object shaped like a truncated cone.


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