An empty cone is of radius \(3 \ cm\) and height \(11 \ cm\). Ice-cream is filled in it so that lower part of the cone which is \(\left(\frac{1}{6}\right)^{\text{th}}\) of the volume of the cone is unfilled(empty) but hemisphere is formed on the top. Find the volume of the ice-cream. (Take \(\pi = 3.14\))

Volume \(=\) \(cm^3\)
Answer variants:
142.9
147.9
145.9
149.9