Calculate the volume, slant height, and total surface area of a right circular cone.
| Volume | – |
| Slant | – |
| Total surface | – |
Use this calculator to find the volume, slant height, and total surface area of a right circular cone from the base radius and the perpendicular height. It applies to funnels, ice-cream cones, piles, and any other solid that tapers from a circular base to a point.
The formulas are: volume = π r² h / 3, slant height ℓ = √(r² + h²), and total surface = π r (r + ℓ). The slant is the distance from the tip down the side of the cone, not the perpendicular height. Height is measured from the tip straight down to the centre of the base.
Use the same length unit for radius and height. Volume is in that unit cubed; slant is a length; total surface is in that unit squared.
Radius: Radius of the circular base.
Height: Perpendicular height from the tip to the centre of the base, not the slant.
Volume: The space enclosed by the cone, one third of the corresponding cylinder.
Slant: Distance from the tip down the side, √(r² + h²).
Total surface: The base disk plus the lateral sector, π r (r + ℓ).
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