Radius of the cone is the same as radius of the hemisphere which is 3 inches.
Volume of the cone is the area of the base, multiplied by the height, and divided by three: (π3²×12)÷3=113.097in³;
Volume of the hemisphere: (4/3(π3³))/2=56.54in³;
Volume of the whole container: 56.54+113.1=169.6in³.