The height of package is 34 inches.
According to the statement
we have given that the perimeter of cylinderical package is 123 inches.
and we have to find the volume of this package.
So,
According to the perimeter
2(Pi)r + h = 123
and then
h = 123 - 2(Pi)r
then the volume become
V = (Pi) r^2h
V= (Pi) r^2 * [ 123 - 2(Pi)r ] = 123 (Pi) r^2 - 2(Pi)r^3
then differentiate it
dV/dr = 246(Pi) r - 6(Pi)r^2
Now take
r(246(Pi) - 6(Pi)r) = 0
then neglect r=0 and then find another value of r.
r = 246(Pi) / 6(pi)
here r=41 then
h = 123 - 2(Pi)r
h = 123 - 2(3.14)41
h = 123 - 2(Pi)r
Then put the value of r then h = 34 inches.
So, The height of package is 34 inches.
Learn more about Volume here brainly.com/question/1972490
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We can calculate for the slope of the line using the
formula:
m = (y2 – y1) / (x2 – x1)
From the given values:
m = (4,000 – 10,000) ft / (15 – 0) min
m = -400 ft/min
This means that the altitude is decreasing by 400 ft per
minute.
> The slope is –400 . This means that the helicopter
descends 400 ft each minute.
Because they have lettters the (p's) go together which is -6p and then you have the +15 left so you add that on the end , your answer is -6p + 15
You should try to use desmos it would give you the answer your lookin for
To find the height, you will utilize the formula for area of a trapezoid. A = h(b1 +b2)/2. h is the height, b1 is the the first base, and b2 is the second base. When you substitute the information given to us in the question, the equation that needs solved is 37.4 = h(6.4 + 12.3)/2. You should multiply both sides by 2 to undo the dividing by 2. This gives you 74.8 = h (18.7). To solve for the height, divide both sides by 18.7. This gives us a cross sections height of 4 meters. This is the answer!