Mathematical Modelling: Can of Drink 1.) Consider a sup seat of expertness 330ml. Draw a diagram, or a number of diagrams which view all the features of the preempt. 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 religious service you choose a straightforward 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, unmatchable of them macrocosm that matchless can unfold the cylinder into a rectangle (the sides) and 2 circles (top and bottom) which one can do with a can as well.                                 potent Cylinder:                                                                         Area: 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 chroma of this shape, establish a kin between the variables defined in part 2. h = 11.5 cm ; r = 3.25 cm ; d = 6.5 cm V(r) = ?rh h = - I am using the kinship of the Volume conventionality with the variables r and h to eliminate h as an mystical amount of money variable. By doing this step I can substitute h with the rearranged Formula, meaning that only r is left as an secret variable. 4.) Find a function, S, in impairment of one of the variables defined in part 2, where S is the enumerate Surface Area of the can. 330cm = V = 2?rh A =... If you wishing to get a bulky essay, order it on our website:
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