Question: User A master baker bakes cylindrical cakes. They are all the same height, 12 cm (so they bake evenly) but with a radius of the
User A master baker bakes cylindrical cakes. They are all the same height, 12 cm (so they bake evenly) but with a radius of the client's choice. The cakes are frosted in the top and sides, but not the bottom. The volume of the cake is given by V(r) =12r^2, where r is in cm. The surface area that needs frosting is given by A(r) = r^2 +24r. a) The baker charges 0.5 cents per cm3 for batter and 1.3 cents per cm2 for frosting. The total cost of the cake can be given by the function C(V,A)= 0.5V + 1.3A. Note: C(V,A) just means that C is a function of both V and A, both of which are functions of r. Find a simplified equation for C as a function of r, C(r). b) Find the radius of the largest cake that you could get for $100. Use Desmos. Include a screenshot of your graph and solution
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