Solid Geometry Calculators

Conical Frustum Calculator

Calculate the volume and surface area of a conical frustum (truncated cone). Enter the radius of the top circle (r), radius of the bottom circle (R), and height (h).


Enter frustum dimensions
Bottom Radius (R) units
Top Radius (r) units
Height (h) units
Conical Frustum Formulas

A conical frustum is a truncated cone with circular cross-sections.

Slant Height:

$l = √(h² + (R - r)²)$

Volume:

$V = \frac{πh}{3}(R² + Rr + r²)$

Lateral Surface Area:

$LA = π(R + r)l$

Total Surface Area:

$SA = π(R² + r²) + π(R + r)l$

Where $R$ is the bottom radius, $r$ is the top radius, $h$ is the height, and $l$ is the slant height.