Mathematical Modelling of a Can.

Mathematical Modelling: Can of Drink 1.) Consider a drink can of capacity 330ml. Draw a diagram, or a number of diagrams which show all the features of the can. Height: 11.5 cm Radius: 3.25 cm Diameter (top): 5.42 cm Diameter (middle): 6.5 cm Diameter (bottom): 5 cm Capacity: 330ml Vcan: 330 cm" 2.) Use your diagrams of part 1 to help you choose a simple three dimensional shape which models this can and define suitable variables for this shape. - I have used a …

…this test I can confirm that the local minimum is located at r = 3cm and V(r) = 3.342 cm".<Tab/> The graph to represent this should be drawn on a V vs r graph. y-axis = V x-axis = r This graph shows the equation and the minimum as pointed out is at r = 3 cm and V = 3.342 cm". This confirms the result I obtained from taking the derivative and performing the first derivative test.