8 [Volume of cone 1/3πr^2h] [Curved surface area of a cone = πrl ] The diagram shows a bowl with a circular base. The curved surface of the bowl is formed by removing a cone with radius 12 cm and height 45 cm from a larger cone as shown in the diagram. The radius of the top of the bowl is 16 cm and its height is 15 cm. (a) Calculate the volume of the bowl. (b) The slant height of the cone that has been removed is c cm. Show that c = 46.6, correct to 3 significant figures. (c) The bowl is completely filled with water. Calculate the total surface area of the bowl that is in contact with the water.