Mathematical Modelling of a Can.
Date Submitted: 09/10/2006 02:31:35
Category: / History / World History
Length: 5 pages (1280 words)
Category: / History / World History
Length: 5 pages (1280 words)
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 …
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…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.
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