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Frustum of a Cone formulas

4 formulas for Frustum of a Cone, from the Mensuration (2D & 3D) section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

Frustum of a Cone
NameFormulaNote
VolumeV = (1/3)πh(R² + r² + Rr) 🧮 Solve step by step
Slant heightl = √(h² + (R − r)²) 🧮 Solve step by step
Curved surface areaCSA = πl(R + r) 🧮 Solve step by step
Total surface areaTSA = πl(R + r) + πR² + πr² 🧮 Solve step by step

What the letters mean

Rbottom radius
rtop radius
hheight
lslant height

A cone with its top cut off parallel to the base (bucket, glass).

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Related: Mensuration (2D & 3D)