A solid glass cylinder, which is used in an expensive laser amplifier, has a volume of 75vm^3. The cost of polishing the surface area of this glass cylinder is £2 per cm² for the curved surface area and £3 per cm^2 for the circular top and base areas. Given that the radius of the cylinder is r cm, (a) show that the cost of the polishing, £C, is given by C = 6πr² + 300/r