An ice cream come factory produces Drumsticks. These are cones filled with vanilla ice cream and then topped with a hemisphere of chocolate ice cream. The radius of the top of the cone and of the hemisphere of chocolate ice cream is 3 cm. The height of the cone is 12 cm.
a) Calculate the volume of each flavor of ice cream in a Drumstick. Express your answer in terms of pi.
b) To make a batch of Drumsticks the manufacturer uses 12 containers of chocolate ice cream. How many containers of vanilla ice cream are needed to make the batch?