0
girth = 2PI r
height=h
h+2 PI r =108
h=108-2 PI r
Volume = PI r^2 h
V = PI r^2 (108-2PI r)
Differentiate with respect to r
dV/dr = PI (2r) (108-2PI r) +PI r^2 (-2PI) =0
216 PI r -4 PI^2 r^2 -2 PI^2 r^2=0
216 PI r -6 PI ^2 r^2=0
PI r [ 216-6 PI r] =0
6 PI r = 216
r = 36/PI --- dimensions
h = (108-2 PI (36/PI)) = 108 -72=36 -- dimensions
Largest volume = PI r^2 h = PI (36/PI)^2 (36)
=1,296 / PI
d^2V/dr^2 =216 PI -6 PI^2 (2r)
when r=36/PI, d^2V/dr2 = 216 PI - 6PI^2 (2)(36)/PI
=216 PI -432 PI < 0, indicates V has been maximized.
What else can I help you with?
What is the largest angel measurement?
The largest angle measurement is 360 degrees or (2\pi) radians, which represents a complete revolution around a point. In terms of geometry, angles can also be expressed in degrees or radians, with 360 degrees being equivalent to a full circle. Angles can exceed these measurements in theoretical contexts, but 360 degrees is the standard for a complete rotation.
What is bigger in size than a bear?
Animals larger than a bear include the elephant, which is the largest land mammal, and the whale, particularly the blue whale, which is the largest animal on the planet. Other examples include the hippopotamus and certain species of rhinoceros, both of which can exceed the size of a bear. Additionally, some dinosaurs, such as the Argentinosaurus, were significantly larger than any modern bear.
Synonym for exaggerate?
excess,exceed
What dose exceed mean?
Exceed means to go over a limit. i.e. This year, we exceeded the limit of how much money we were supposed to raise for a charity.
What is the probability that something will never happen?
It depends on what the "something" is. The probability that the roll of a regular die will never exceed 6 is 1. The probability that the roll of a regular die will never exceed 3 is 0.5. The probability that the roll of a regular die will never exceed 0 is 0.
What is the largest macromolecules in the human body?
Mostly it is DNA. Its molecular weight exceed 10,000
What is size is the largest crocodile?
Large salt water and Nile crocodiles can exceed 20 feet.
How big was the dinosaur gigantosuarus?
gigantosaurus,one of the largest carnivores of the cretacious period.It was 49ft long and could easily exceed that.
What are the largest DOT approved street legal tires?
In most provinces the largest legal tire is 54" however your bumper must not exceed 33" and headlights not 53-54"inches from the ground
What is Brazils main river?
The Amazon is certainly the largest and most impressive, but the Rio Parana provides power and economic advantages that exceed the tourism value of the vaunted Amazon.
What is Brazil's main river?
The Amazon is certainly the largest and most impressive, but the Rio Parana provides power and economic advantages that exceed the tourism value of the vaunted Amazon.
When finding the factor of 841 what is the largest factor you would test?
When finding the factors of 841, the largest number you would test is 29. No prime number higher than 29 could be a factor because the square of that number would exceed 841.
When finding the factors of 841 what is the largest factor you would have to test and what theorem supports it?
When finding the factors of 841, the largest number you would test is 29. No prime number higher than 29 could be a factor because the square of that number would exceed 841.
What is the prefix version for exceed?
over-
Is exceed a verb?
Yes, the word exceed is a verb.
Is exceed a proper noun?
No, the word 'exceed' is not a noun.The word 'exceed' is a verb (exceed, exceeds, exceeding, exceeded).The noun forms of the verb to exceed are exeeder (one who exceeds) and the gerund, exceeding.A related noun form is excess.
A sentence with the word exceed?
By working hard, you can exceed my expectations.
