Volume of a cone

V=\tfrac13\pi r^2 H

Result unit: volume units

What it describes

The volume of a cone with base radius

r

and height

H

V

volume

r

base radius

H

height

A cone is a "pyramid with a circular base" — it has

\tfrac13

the volume of a cylinder with the same base and height.

Cones: funnels, hats, piles.

Base radius 3, height 4. Find the volume of the cone.

Substitution

r=3

H=4

Result

V=\tfrac13\pi\cdot9\cdot4=12\pi\approx37.7

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