Cone volume calculator
Volume of a cone, or of a frustum (a cone with its tip cut off, like a bucket or lampshade).
56.54866776 cm³
V = (1/3) π r² h · r = 3, h = 6
in m³0.0000565487
in ft³0.0019969974
in in³3.4508114
in litres0.056548668
in US gallons0.014938578
Formula and worked example
Cone: V = (1/3) π r² h
Conical frustum: V = (1/3) π h (r² + rR + R²)
Example: a cone with r = 3 cm, h = 6 cm holds 56.5487 cm³ = 0.0565487 litres.
Funnels, piles of sand or gravel, ice-cream cones, buckets and hoppers.
Other solids
Need the outside area for paint or material instead? Use the surface area calculator.
Questions people ask
What is the formula for the volume of a cone?
V = (1/3)πr²h, exactly one third of a cylinder with the same base and height.
How do I find the volume of a bucket?
A bucket is a conical frustum: V = (1/3)πh(r² + rR + R²), with r and R the top and bottom radii.
Does slant height matter?
Not for volume. Use the vertical height; slant height only matters for surface area.