Calculate cone volume, slant height and total surface area from radius and vertical height.
Right triangles, areas, slopes, distances and common coordinate-geometry formulas.
Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.
A cone with radius 3 and height 8 has volume 24π, about 75.40 cubic units.
Calculate cone volume, slant height and total surface area from radius and vertical height. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
For a cone of radius 3 and height 8, volume is (1/3)π × 3² × 8 = 24π ≈ 75.40 cubic units. A cylinder with the same base and height would hold approximately 226.19 cubic units.
Geometry note: use vertical height, not the slant height, in the volume formula. A cone’s outer surface area does use slant height, so do not substitute the two measurements.
Calculate cone volume, slant height and total surface area from radius and vertical height.
Volume = 1/3 πr²h. Slant height = √(r²+h²).
Yes. ERICH Calculators is free to use and does not require an account.
See how formulas, sources and limitations are handled across ERICH Calculators.