Mathematical Modelling of a Can.

Mathematical Modelling: Can of Drink 1.) Consider a drink seat of competency 330ml. Draw a diagram, or a number of diagrams which scan 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.) utilisation your diagrams of part 1 to help you choose a naive three dimensional dramatis personae which models this can and define suitable variables for this shape. - I have utilize a piston chamber to model a regular can of drink since it has similar features as a can, one of them macrocosm that one can unfold the cylinder into a rectangle (the sides) and 2 circles (top and bottom) which one can do with a can as well.                                    Solid Cylinder:                                                         Â Â Â Â Â Â Â                    compass: A = 2?rh + 2?r                                             Volume: V = (Area of base) x height                                                       V(r) = ?rh          1ml = 1cm Variables are r and h r = radius h = height 3.) By considering the volume of this shape, establish a relationship between the variables delineate in part 2. h = 11.5 cm ; r = 3.25 cm ; d = 6.5 cm V(r) = ?rh h = - I am using the relationship of the Volume conventionality with the variables r and h to eliminate h as an mystical amount variable. By doing this step I can substitute h with the rearranged Formula, meaning that only r is left as an occult variable. 4.) Find a function, S, in terms of one of the variables outlined in part 2, w here S is the total Surface Area of the can.! 330cm = V = 2?rh A =... If you desire to get a spacious essay, order it on our website: OrderCustomPaper.com

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