Paritian

Mathematics

Cone Volume Calculator

Volume and slant height of a cone from its radius and vertical height.

Results

Volume 2.0944
Length 2.23607 m
The shape, to scale
Cone Volume CalculatorCone Volume Calculator: r = 1.00 m, h = 2.00 mr = 1.00 mh = 2.00 m

What this tool does

A cone holds exactly one third of the cylinder that would enclose it, which is worth remembering when estimating a stockpile of sand or gravel. The slant height is also given, since that is the measurement you can actually reach with a tape on a real heap.

Formula

V = (1/3) × π × r² × h

Variables

SymbolMeaningUnit
rRadiusm
hHeightm
VVolume
sLengthm

Worked example

  • Radius1 m
  • Height2 m
  • Volume2.0944 m³
  • Length2.23607 m

Limitations

  • Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.
  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.