The dimensions of the cylinder that has the maximum volume can be
found be finding the maximum value of the volume function.
[tex]\mathrm{The \ \underline{height \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8}{\sqrt{3} }}}[/tex][tex]\mathrm{The \ \underline{radius \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8 \cdot \sqrt{6} }{3}}}[/tex]Reasons:
The known parameter of the hemisphere are;
The radius of the hemisphere = 8
Required;
The radius and height of the maximum volume of the inscribed cylinder.
Solution:
Let h represent the height of the cylinder, and let r represent the radius of
the cylinder, we have;
r² + h² = 8²
Therefore;
r² = 8² - h² = 64 - h²
r² = 64 - h²
The volume of the cylinder, V = π·r²·h = π·(64 - h²)·h
V(h) = π·(64·h - h³)
At the maximum volume, we have;
[tex]\dfrac{dV(h)}{dh} = \dfrac{d}{dh} \left(\pi \cdot \left(64 \cdot h - h^3 \right) \right) = \pi \cdot \left(64 - 3 \cdot h^2 \right) = 0[/tex]
64 - 3·h² = 0
64 = 3·h²
[tex]h =\sqrt{\dfrac{64}{3} } = \dfrac{8}{\sqrt{3} }[/tex]
[tex]\underline{\mathrm{The \ height \ of \ the \ cylinder, \ h} = \dfrac{8}{\sqrt{3} }}[/tex]
[tex]r^2 = 64 - \dfrac{64}{3} = \dfrac{128}{3}[/tex]
[tex]r =\sqrt{\dfrac{128}{3}} = \dfrac{8 \cdot \sqrt{6} }{3}[/tex]
[tex]\underline{\mathrm{The \ radius \ of \ the \ cylinder, \ } r = \dfrac{8 \cdot \sqrt{6} }{3}}[/tex]
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At which point or points does the pendulum have the greatest kinetic energy? A only B only C only both A and C.
Answer:
answer is b only
Explanation:
Answer:
b
Explanation:
What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nearest tenth of a centimeter. 2 oblique pyramids with square bases are shown. Pyramid A is a base edge length of 2. 6 centimeters and a height of 2 centimeters. Pyramid B has a base edge length of 2 centimeters and a height of 2. 5 centimeters. 0. 7 cm3 1. 2 cm3 1. 8 cm3 2. 3 cm3.
Answer:
What brought an end to efforts during the late thirteenth century to form an alliance of European states and the il-khanate of Persia aimed at crushing Islamic forces in the eastern Mediterranean
Explanation:
If you know two angle measures in a triangle, can you find the measure of the third angle? if not, why not? if so, how?.
Answer:
Yes
Explanation:
Yes, you can find the third angle's measurement as all angles in a triangle add up to 180 degrees. Therefore, you would add the angles of the two you already know and subtract that sum from 180 to get the measurement of the third angle. Hope that helps!
A company is selling used office equipment for 12000.
Answer:
So?what do u need to know or work ou in this question
Explanation:explanation is
Which lines from the passage present the most likely reason that theodora’s attitude changes?.
The lines from the passage refers to a change in Theodora's attitude towards divorce law.
She made some amendments to the law in order to provide benefit to young girls who are suffering from masculine powers.
She was also against the girls trafficking and she saved young girls from being victim of human trafficking. She was the first ruler to recognize rights of woman.
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The following is a chemical reaction for _______ with ozone. Reaction 1: C l O B r O right-arrow C l B r O 2. Reaction 2: C l O 3 right-arrow C l O O 2. Reaction 3: B r O 3 right-arrow B r O O 2. A. Chlorofluorocarbons b. Halons c. UV radiation d. None of the above.
Answer:
B
Explanation:
The ozone is being broken up in the second and third, which indicates halons. Halons destroy ozone and extinguish fires.
Answer:
B
Explanation:
A chamber contains equal molar amounts of c₂h₂, ch₄, and h₂. If the total chamber pressure is 5. 00 atm, then the partial pressure of c₂h₂ is:.
Answer:
I don't know answer what
The partial pressure of c₂h₂ is25 atm.
What is partial pressure?When more than one gas is present in a container, each gas exerts pressure, which is known as partial pressure. Its partial pressure refers to the pressure of any gas inside the container.
Partial pressures can be calculated in one of two ways:
To determine the individual pressure of each gas in a mixture, use PV = nRT. Determine the proportion of pressure from the total pressure that may be assigned to each individual gas by using the mole fraction of each gas.When there is a combination of two or more gases in a given volume, the pressure created by each individual gas in the mixture is expressed using the phrase partial pressure.
The partial pressures of the individual gases make up the total pressure of the gas combination. P1 + P2 + P3 = Ptot = Pi
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It is also known as jingju lianpu that is done with different colors in accordance with the performing characters, personality and historical assessment.
The traditional form of make-up worn in other to draw resemblance or attain a certain type of effect related to the personality of the character portrayed in an opera is called the Peking Opera.
In other to conform with the nature or attribute of a certain character which is mimicked in an opera, the use of face - paints which signals different historical effects are used. The Peking opera is very common in the Chinese traditional culture, the gold color symbolizes being god fearing and other color symbols.Learn more : https://brainly.com/question/25707319
The equilibrium constant for the reaction cu + 2ag.
Answer:
Socratic app
Explanation:
it will help you
The little boy became drowsy as the day turned into night.
Answer:
what's the question?
Explanation:
Which research paper would this article best support? ""Discovering Filmmaking in the Twenty-First Century"" ""A Discussion of Filmmaking in the Modern Film Industry"" ""The Realities of Filmmaking in the Twenty-First Century"" ""Tracking the Intricacies of the Modern Filmmaking Process"".
There are a lot of research paper constantly been written everyday. The research paper that this article best support tracking the intricacies of the modern filmmaking process.
A research paper is simply known to be a piece of academic writing that gives a detailed analysis, interpretation, and argument based on thorough independent research.Writing a research paper often demands the individual to show a good knowledge of your topic, engage with a variety of sources, and make a good contribution to the debate.
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Answer:
Explanation:
its d tracking...
Which of the following describes the zeroes of the graph of f(x) = 3x6 30x5 75x4?.
Answer:
Explanation:
f(x) = 3x6 30x5 75x4?.
Answer
the 4th option
Explanation:
How many aluminum atoms are there in 3. 50 grams of al2o3?.
It is also known as jingju lianpu that is done with different colors by the performing characteristics personality and historical assessment.
Based on the description given in the question, Peking face-paint is also known as Jingju lianpu that is done with different colors by the performing characteristics personality and historical assessment.
What is Peking face paint?Peking faces paint is famous for being one of the most colorful facial make-up.
Peking face-paint is usually carried out during traditional Perking opera on-stage actors. These actors perform roles referred to as Jing.
Hence, in this case, it is concluded that the correct answer is Peking face-paint.
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Which number is rational? –2. 1010010001. –0. 8974512. 1. 2547569. 5. 3333333.
Answer:
D
Explanation:
6300kg in grams in standard form.
Which of the following statements about the law of acceleration is true.
Answer:
Acceleration
Explanation:
Stretching before and after a workout allows for __________. A. Minimal soreness B. Maintained flexibility C. Notation of increased flexibility D. All of the above Please select the best answer from the choices provided. A B C D.
Answer:
D on edge, brainliest plz?
Explanation:
hope this helps
The benefits of stretching before and after a workout are; All the given options A B C and D
What is the importance of Stretching?There are different means of doing exercises such as skipping, running, push ups, sit ups, planks, stretching, jogging e.t.c
Now, exercises have different benefits and stretching is no exception because it has a lot of benefits such as ensuring you have minimal soreness, maintained flexibility and notation of increased flexibility.
Thus, we can conlcude that the benefits of stretching include all the given options.
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Predict the missing component of each reaction. 2Na Cl2 mc001-1. Jpg ? 2NaCl 2NaCl2 Na2Cl 2NaO Cl2 2MgO mc002-1. Jpg ? 2Mg H2O 2Mg O2 MgOH O2 MgO O2.
Answer:
2Na + Cl2 → 2NaCl
2MgO → 2Mg + O2
Explanation:
Edge Answer :)
Answer:
2NaCl and 2Mg + O2
Explanation:
A and B got it right on edg :)
Based on your opinion after reading the text, what is an example of a societal response to crime and deviance?.
Answer:
If a person belonging to a specific region and culture breaks a norm or set of rules that are set by the leaders or his ancestors then it is termed as deviance. While, any person relating to some culture might not think the same. That is due to difference any perception of the different individuals belonging to different cultures and background
Explanation:
While, crime is more related to the universal rules and regulations. As if any person commits a murder, or the criminal is involved in sort of robbery or any of the inhumane activities then he will face the court. So crimes are the offenses which are not associated with any specific culture.
hope this helps if not then i am sorry
Which theorem explains why the circumcenter is equidistant.
Answer:
static code analysis in the cloud
An astronaut takes what he measures to be a 10-min nap in a space station orbiting earth at 8000 m/s. A signal is sent from the station to earth at the instant he falls asleep, and a second signal is sent to earth the instant he wakes.
Answer:
The astronaut was asleep longer on earth then he was in space
Explanation:
calculate the boring stuff (speed, time) and it shows that he was asleep for a greater value in space
What is one of the biggest challenges when companies are committed to sustainability brainly.
There are lots of challenges when it comes to keeping up with sustainability. One of the biggest challenges when companies are committed to sustainability is that the surrounding community needs to understand the environmental impact of the changes.
Sustainable development and climate action are said to have some linkages and both are very important to the present and future health of humanity.
Some of the challenges in corporate sustainability is that there is also a mental shift so as to consider sustainability in all aspects of the business.
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Did you experience spending more time to make a decision.
Answer:
Yes
Explanation:
deciding what to wear to a pre -wedding introduction rites took so much of my time
Which of these is the function of the external oblique muscles?.
The external oblique muscle is located in the abdomen, towards the anterior and lateral part, whose function is related to the rotation of the torso and lateral compression of the abdomen.
The external oblique muscle is a muscle with skeletal striated fibers, together with the minor oblique, pyramidal, transverse and rectus major are those located in the anterior and lateral abdominal area.
Its main function at the moment of contracting its fibers on one side of the abdomen, is to produce a rotation of the thorax accompanied by the movement of the upper part of the contracted muscle to the opposite side.Participates in forced expiration and stabilizes the lumbar spine when lifting weights and the muscles that originate from the pelvis.
Therefore, we can conclude that the external oblique muscle determines lateral (ipsilateral) flexion and rotation to the contralateral side.
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What features or elements of the story surprise me.
Answer:
and I can get you a new one for the main idea of the following is not a characteristic
The office supply superstore sells pens for 60 cents.
Which answer choice is a solution to the inequality mc001-1. Jpg? –1 1 1. 5 0.
Answer:
c, 1.5
Explanation:
Answer:C) 1.5
Explanation:
Emily, an 11-year-old girl, wants to sign-up for a fashion newsletter and sweepstakes. In order to do so, the website wants to know emily's name, address, phone number, and email address. Which of the following is correct?.
Answer:
Emily must have permission from her parents in order to furnish the information to the website.
Explanation:
She's underaged
In a school 2/3 of the students study a language.