Volume of Cone Formula

Like in the case of a  pyramid,  the volume of a cone can be established if the values of the height and area of base are known.

standard cone

The volume of a pyramid is established by:

\bf{\frac{1}{3}} × height × base area

This also turns out to be the same situation with a standard cone.

Now with the base of a cone being a circle, the area of the base is given by  πr2.
Where  r  is the radius of the base.

Thus we have volume of cone formula   =   \bf{\frac{1}{3}}hπr2



Find volume of a Cone

h = 14     ,     r = 6

Volume  =  \bf{\frac{1}{3}} × 14 × π × 62   =   527.79

The volume of the cone is   527.79cm3.


A cone has a volume of  392.7cm3,  and a base radius of  5cm.

Roughly what height is the cone in cm?



392.7  =  \bf{\frac{1}{3}} × π × 52 × h

\boldsymbol{\frac{392.7}{{\frac{1}{3}} \space \times \space \pi \space \times \space 5^2}}  =  h       =>       15.00004  =  h

The height of the cone is just over  15cm.

Volume of Cone Formula, Oblique

An oblique cone, is a cone where the top/apex of the cone is not above the central point of the base.

Examples of two such cones are pictured below.

oblique cones

Conveniently, the formula for working out the volume of an oblique cone is the same as it is for right cones where the top is above the center of the base.

As long as we still know the perpendicular height of the pyramid, as well as the radius of the circle base.


find volume of oblique cone


Volume  =  \bf{\frac{1}{3}} × 8 × π × 22  =  33.51

The volume of the oblique cone is  33.51m3.

  1. Home
  2.  ›
  3. Volume
  4. › Volume of Cone Formula

Share page:

Return to TOP of page