You have been asked to manufacture a replica cast iron cannon ball by sand casti

You have been asked to manufacture a replica cast iron cannon ball by sand casting. The casting is made up of two parts: the cannon ball itself which is 127mm in diameter and a casting sprue (used to pour the molten cast iron into the mould) which is 25.4mm in diameter and 76.2mm long. What is the volume of cast iron required to completely fill the mould (including sprue), and what is the surface area of the finished cannon ball casting?

If the sand casting box is 200mm by 200mm by 50mm, how much sand would be required to make up the mould?

(Hint: Remember to remove the volume of the casting.)