9 [Volume of a cone = 1/3πr²h] [Curved surface area of a cone = πrl] The diagram shows a solid cone of height 15 cm and base radius 6 cm. (a) Show that the slant height of the cone is 16.2 cm, correct to one decimal place. (b) Calculate the total surface area of the cone. (c) Calculate the volume of the cone. (d) The cone is made from wood. The mass of 1 m^3 of the wood is 560 kg. Calculate the mass of the cone in grams. (e) Another cone is made of the same material and is geometrically similar to the first. The mass of the second cone is double the mass of the first. (i) Calculate the height of the second cone. (ii) Calculate the total surface area of the second cone.