Truncated Cone Calculator
MathCalculate the volume, slant height, and surface areas of a truncated cone (frustum) from its two radii and height.
Volume
Volume of the frustum, (1/3)*pi*h*(r^2+rR+R^2).
Slant Height
5.0000
Distance along the slanted side from the top edge to the base edge, sqrt((R-r)^2+h^2).
Lateral Surface Area
78.5398
Area of the curved side surface, pi*(R+r)*slant height.
Total Surface Area
131.9469
Lateral area plus the top and bottom circular faces.
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Odeh Ahwal0people find this calculator helpful
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Frequently Asked Questions
What is a truncated cone?
A truncated cone, or frustum, is a cone with its pointed top sliced off by a cut parallel to the base, leaving two flat circular faces of different sizes connected by a slanted side.
How is this different from the truncated cone volume calculator?
This is the comprehensive version, computing volume, slant height, and all surface areas together. The dedicated volume calculator exists as a narrower page for visitors who only need the volume.
What happens if the two radii are equal?
If the top and base radii are equal, the shape is no longer a true frustum, it becomes a cylinder, and the volume formula simplifies to pi*r^2*h.
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