The volume of a cone \(V\) can be calculated by the equation \(V = \frac{bh}{3}\) where \(b\) is the area of the base. If the cone has a radius of \(5.5\) then the area of the base is \(30.25\pi\) therefore the volume of the cone is \(\frac{12 \times 30.25\pi}{3} = 121\pi \approx 380.132711084\) units^3.