<Dd> π h 2 tan ⁡ Θ 2 (tan ⁡ Θ 2 + sec ⁡ Θ 2) (\ displaystyle \ pi h ^ (2) \ tan (\ frac (\ Theta) (2)) \ left (\ tan (\ frac (\ Theta) (2)) + \ sec (\ frac (\ Theta) (2)) \ right)) </Dd> <Dd> where Θ (\ displaystyle \ Theta) is the apex angle and h (\ displaystyle h) is the height . </Dd> <P> A right solid circular cone with height h (\ displaystyle h) and aperture 2 θ (\ displaystyle 2 \ theta), whose axis is the z (\ displaystyle z) coordinate axis and whose apex is the origin, is described parametrically as </P> <Dl> <Dd> F (s, t, u) = (u tan ⁡ s cos ⁡ t, u tan ⁡ s sin ⁡ t, u) (\ displaystyle F (s, t, u) = \ left (u \ tan s \ cos t, u \ tan s \ sin t, u \ right)) </Dd> </Dl>

Volume of a cone in terms of theta