For a circular cone with radius "R" and height "H", the formula for volume becomes

where "r" is the radius of the cone at height "h" measured from the apex:

Thus:

Thus:

For a right circular cone, the surface area formula_18 is 
The first term in the area formula, formula_21, is the area of the base, while the second term, formula_22, is the area of the lateral surface.

A right circular cone with height formula_5 and aperture formula_24, whose axis is the formula_25 coordinate axis and whose apex is the origin, is described parametrically as
where formula_27 range over formula_28, formula_29, and formula_30, respectively.

In implicit form, the same solid is defined by the inequalities
where

More generally, a right circular cone with vertex at the origin, axis parallel to the vector formula_33, and aperture formula_24, is given by the implicit vector equation formula_35 where
where formula_38, and formula_39 denotes the dot product.

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