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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Answer:
Left: 42ft^2
Right: 21ft^2
Step-by-step explanation:
Its the same question as last time.
Left: (3*10) + (2*6) = 42
Right: (3*5) + (2*3) = 21
Answer:
So, the simplified version is

In words it can be written as minus 5 square root of 7 end root plus 7 square root of 6 end root
Step-by-step explanation:

We need to simplify the above expression.
Combining the like terms of the above expression.
Like terms are those that have same variables.



So, the simplified version is

In words it can be written as minus 5 square root of 7 end root plus 7 square root of 6
Answer:
409 is what I got.
Step-by-step explanation:
361 cm, as the square's area
and 48 as the area for the triangle.
Are you sure those are the answer choices because I'm getting 409.