Product |
Radius (inches) |
Height (inches) |
Volume (cubic inches) |
Baking power |
1.25 |
3.65 |
17.92 |
Cleanser |
1.45 |
7.50 |
49.54 |
Coffee |
1.95 |
5.20 |
62.12 |
Frosting |
1.63 |
3.60 |
30.05 |
Pineapple juice |
2.10 |
6.70 |
92.82 |
Using the given information above complete the table below.
**I just need to get the ball rolling I got the first one. I need Coffee, Frosting, and Pineapple Juice.
Product |
Actual Volume |
Actual Radius |
Actual Surface Area |
Radius of Minimized area |
Height of Minimized area |
Minimized Surface Area |
Baking powder |
17.92 |
1.25 |
||||
Cleanser |
49.54 |
1.45 |
||||
Coffee |
62.12 |
1.95 |
||||
Frosting |
30.05 |
1.63 |
||||
Pineapple juice |
92.82 |
2.10 |
Assuming all the items are in cylindrical shape. Look for the coffee can: The volume V is 62.12 in^{3}; consider the radius r, and height h. Then, obtain the value of h in terms of r.
The derivative of function of surface area becomes
Therefore, the radius of the minimized surface area 86.83...
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