Frustum Volume Calculator
Calculate the volume of a conical frustum as (π·h/3)·(R²+R·r+r²).
Description
Calculate the volume of a conical frustum as (π·h/3)·(R²+R·r+r²).
Frustum Volume Calculator: Calculate the volume of a conical frustum as (π·h/3)·(R²+R·r+r²).
When to use Frustum Volume
Use this geometry calculation when the shape, dimensions, coordinate system, and units match the stated ideal Euclidean model.
- Top radius
- Radius of the larger base.
- Bottom radius
- Radius of the smaller base.
- Height
- Perpendicular height.
How Frustum Volume works
Calculate the volume of a conical frustum as (π·h/3)·(R²+R·r+r²). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1
- Volume
- The resulting volume returned as a number.
Limitations and assumptions
- The result assumes exact idealized geometry. Measurement uncertainty, rounded inputs, nonplanarity, self-intersection, thickness, curved coordinate systems, and ambiguous dimension definitions are not automatically represented.
- Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.
Alternative or Complementary approaches
Sketch and label the dimensions, verify unit consistency, and use coordinate or CAD methods for irregular measured shapes.
References
-
Volume — Wikipedia contributors
Similar or alternative tools
- Ellipsoid Volume Calculator
Calculate the volume of an ellipsoid from its three semi-axes as (4/3)π·a·b·c.
- Regular Octahedron Volume Calculator
Calculate the volume of a regular octahedron from its edge length as (√2/3)·a³.
- Square Pyramid Volume Calculator
Calculate the volume of a right square pyramid from its base edge and perpendicular height as (a²·h)/3.