// multi-utility computation suite · offline · instant · precise
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math.geometry-frustum Calculator
Calculates the volume and lateral surface area of a frustum (truncated cone) from the top and bottom radii and height. Frustums appear in architecture (truncated pyramids), machining (tapered shafts), and packaging design.
Inputs
R1
Distance from centre to edge of a circle. Radius = diameter / 2.
R2
Distance from centre to edge of a circle. Radius = diameter / 2.
H
Vertical measurement. For health calculators, typically standing height without shoes.
Slant
Vertical measurement. For health calculators, typically standing height without shoes.
Results
volume
The computed three-dimensional volume.
lateral surface area
The computed two-dimensional surface area.
total surface area
The combined total across all inputs and components.
slant height l
The computed height.
V = πh/3(r₁²+r₁r₂+r₂²)
Reference formula or conversion factor shown for context.