Calculate total or lateral surface area of a truncated cone from radii or diameters and slant height or vertical height.
This surface area of a cone frustum calculator helps you calculate the total surface area or the lateral surface area of a frustum from the outer radius, inner radius, height, and slant height. It is useful for geometry problems, technical drawings, and material estimates.
You can work with radius or diameter inputs, and in some modes the calculator can derive a missing height or slant height automatically. That makes it useful for packaging, truncated cones, hoppers, lampshades, and other frustum-shaped objects.
$$A= \pi (R^2+r^2)+\pi (R+r)s$$
For the total surface area of a cone frustum, add the lateral surface area and the two circular end areas. Depending on the known values, the calculator can use the outer radius, inner radius, height, and slant height.
outer radius
inner radius
height
slant height
The lateral surface area includes only the sloped outer surface of the frustum. The total surface area also includes the top and bottom circular faces.
Yes. This calculator supports radius-based inputs with either height or slant height, and it can derive the missing measure when the other values are known.
Yes. You can calculate the surface area from diameters and slant height or from diameters and height. The calculator converts the values internally and returns the requested area.
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