A rectangular tank with a square base, an open top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet
steel. Find the dimensions of the tank that has the minimum surface area.
1 answer:
Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
_____
As the attached graph shows, a graphing calculator can also provide the solution.
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The answers for this task are gotten in most cases by Careful Observation of Liam DeWitt's Bank Account Information.
<h3>What is a Bank Account Information?</h3>
A bank account information refers to all the details present on or which can be deduced from one's statement or record of banking activities..
Liam's Average Daily Balance is: Total sum of balance each day divided by the number of days. That is
(250+87+1300+470-200+34.76+102.71+45.90+84.60)/9
ADB= $241.66
B) Liam's Monthly Periodic Rate (MPR) is the Annual Interest Rate divided by the number of periods. In this case, that will be:
19.8%/12
MPR = 1.65%
C) Liam's Finance Charge is (Average Daily Balance * APR)/365.
That is (241.66 * 19.8)/365 = 13.11%
D) Liam's New Balance is calculated by removing new inflow from old balance. That is
(250+87.60+1,300+470.63+34.76+102.71+45+848.60)-3,240.5
= $-101.20
E) Liam's Available Line of Credit is clearly stated as $4,000.
See the link below for more about Bank Account Information:
