Truncated Cone Volume Calculator

Calculate the volume, surface area, and slant height of a frustum.

Last updated: June 2026 | By Patchworkr Team

Frustum Dimensions

Top Radius

Base Radius

Height

Top radius is required.

Volume = (pi h / 3)(R^2 + Rr + r^2). Surface area includes the two circular ends plus the slanted band.

Live Results

Enter valid dimensions to see results.

Formulas

Volume: V = (pi h / 3)(R^2 + Rr + r^2)

Slant height: s = sqrt(h^2 + (R - r)^2)

Surface area: A = pi(R + r)s + piR^2 + pir^2

Example: r = 0.2, R = 0.3, h = 0.6

Volume: about 0.11938052

Slant height: sqrt(0.6^2 + 0.1^2) about 0.60827625

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