The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is increasing at a rate of 108 cubic meters per second. At the instant when the height of the cylinder is 6 meters and the volume is 33 cubic meters, what is the rate of change of the height? The volume of a cylinder can be found with the equation V=πr²h. Round your answers to three decimal places.

Answers

Answer 1

The rate of change of the radius with time is a partial derivative of the rate of change of volume with time. At the instant the height of the cylinder is 6 feet is the radius is decreasing at a rate of approximately 4.634 ft./s.

What is the height of the cone?

The height of the cone is 27 meters when the radius of the cone is 55 meters and the volume of the cone is 733 cubic meters.The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is increasing at a rate of 108 cubic meters per second.

Cones grow in size at constant rates of 9 meters per second for the radius and 1631 cubic meters per second for the volume.

Therefore, The height of the cone is 27 meters when the radius of the cone is 55 meters and the volume of the cone is 733 cubic meters.

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Related Questions

Which statement would be most important to include in an accurate and objective summary of the article?


A. The U.S. used its power to control it's Central America and Cuba in order to benefit its own government and businesses.

B. The U.S. interfered in a war between Cuba and Spain that resulted in a situation that unfairly benefited American businesses.

C. The U.S. used diolomacy with Colombia to negotiate the independence of Panama as well as the building of a large canel.

D. The U.S. agreed to bring its businesses to neighboring countries only if they promised not to do business with Europe.

Answers

A. The U.S. used its power to control it's Central America and Cuba in order to benefit its own government and businesses.

This statement is the most important to include in an accurate and objective summary of the article as it highlights the main theme of the article, which is how the United States increased its control over its neighbors in Central America and the Caribbean Sea in order to benefit its own government and businesses. The other options mention specific actions taken by the U.S. but do not encapsulate the overall aim of the article which is the U.S.'s expansionist policies.




A. The U.S. used its power to control it's Central America and Cuba in order to benefit its own government and businesses.

Prompt: Evaluate the extent to which economic motivations caused European colonization in 1450-1750.​

Answers

Answer:

Europeans wanted the power and resulting wealth that would come from controlling trade. Finding all- water routes to Asia and its riches would allow European merchants to cut out Middle Eastern middlemen and reap all the profits of eastern trade. Some Europeans were also eager to spread Christianity to nonbelievers.

Explanation:

Could someone answer all the three questions of the article?

Which sentence from the article BEST develops a central idea?

A. Even before the Civil War, in 1850 a New York company constructed the Panama Railroad, which was the world’s first railway to go from one continent to another.
B. In 1895, Cuban nationalists launched a war against Spain that threatened both the sugar trade and these American businesses.
C. But later, Washington put pressure on Cuba and in 1903, the United States got the rights to the naval base at Guantánamo Bay and U.S. companies had a privileged position in the island’s sugar industry.
D. Washington did not want any countries in Europe to move their forces into the area, so Roosevelt declared his so-called "corollary" that follows along with the ideas in the Monroe Doctrine.


Which statement BEST represents Roosevelt's approach to Cuban and Panamanian politics?

A. Roosevelt supported independence movements in those countries so that the U.S. could gain greater control over business there.
B .Roosevelt believed it was important to keep U.S. support for independence movements in those countries a secret from the rest of the world.
C. Roosevelt thought it was a mistake to get involved in Cuban politics, but later repeated the action in Panama.
D. Roosevelt wanted those countries to gain their independence so they could set up democracies and free trade.


How does the article develop the idea that U.S. businesses exerted a lot of power in Central America and the Caribbean?

A. Through an outline of Theodore Roosevelt's "Dollar Diplomacy"
B. Through a quotation of Theodore Roosevelt's opinions of Cuba
C. Through a report on the United Fruit Company after World War II
D. Through a description of the United Fruit Company's expansion

Answers

A. Even before the Civil War, in 1850 a New York company constructed the Panama Railroad, which was the world’s first railway to go from one continent to another.

D. Roosevelt wanted those countries to gain their independence so they could set up democracies and free trade.

D. Through a description of the United Fruit Company's expansion.

A. Even before the Civil War, in 1850 a New York company constructed the Panama Railroad, which was the world’s first railway to go from one continent to another. This sentence from the article develops the central idea of the increasing influence and control of the United States in Central America and the Caribbean. The construction of the Panama Railroad by a New York company in 1850 is presented as an early example of American businesses moving into the region, and it sets the stage for the article's discussion of American businesses building railroads and banana plantations in Central America and moving into Cuban sugar production.

D. Roosevelt wanted those countries to gain their independence so they could set up democracies and free trade. This statement best represents Roosevelt's approach to Cuban and Panamanian politics because the article states that Roosevelt supported independence movements in those countries so that the U.S. could gain greater control over business there, and that the U.S. would be the major military power in the region. The article also states that Roosevelt declared his so-called "corollary" that follows along with the ideas in the Monroe Doctrine to assert that the United States had the right to be the major military power in the region, and to keep out European interference.

D. Through a description of the United Fruit Company's expansion. The article provides a detailed description of how American businesses exerted a lot of power in Central America and the Caribbean through the expansion of companies such as the United Fruit Company. This is seen in the construction of railroads, the creation of banana plantations, and the control of the sugar industry in Cuba. The article also shows how the U.S. government supported these business interests by getting involved in the war with Spain, gaining control of Puerto Rico, Hawaii, Guam, and the Philippines, and pressuring Cuba to give the U.S. control of the naval base at Guantanamo Bay. All these actions were aimed to protect the American business in the region and to reshape the region without any European influence.

Answer:

The sentence that best develops a central idea about the article is:

A.

A year earlier, in April 1815, Mount Tambora, a volcano on the island of Sumbawa in Indonesia, erupted in a massive explosion.

two issues related to the creation of the political boundaries of newly independent states.

Answers

Political boundaries are fictitious lines that divide one political unit, such as a nation or state, from another.

What is an example of a political boundary?

A political boundary is a hypothetical line that divides one political unit, like a nation or state, from another. These can occasionally line up with a river or other natural geographic feature to form a boundary or other barrier between nations. Sometimes two nations will disagree on where a border is drawn.

Political lines frequently develop along borders between nations or states. As an illustration, the Alps divide France from Italy, while the Pyrenees form the border between France and Spain.

A legal document establishes defined boundaries. A map is drawn with delineated boundaries. Physical things like walls, signs, and fences serve as indicators of demarcated borders. Additionally, natural or geometric lines can be used to define any border.

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Explain how the ma of an object can be determined in a free-fall orbit uing the concept of imple harmonic motion

Answers

In the absence of any other forces, such as air resistance, it has been demonstrated experimentally that an object close to the Earth's surface falls at a constant acceleration.

What is the connection between oscillation and mass?

The oscillation period will also be influenced by mass. A stiffer spring with a constant mass, for instance, has a shorter oscillation period, while a spring with more mass has a longer oscillation period.

How is simple harmonic motion affected by mass?

The time period is longer the larger the system. On a diving board, for instance, a heavy person bounces more slowly than a light one. In point of fact, the only things that have an effect on the period and frequency of simple harmonic motion are the mass m and the force constant k.

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adding graphics identifying features used in word place the features under task they help accomplish


Adding image. Formatting images



Picture dialog box
Picture styles
Insert tab
Crop

Answers

A photo from my computer should be added: Simply choose Picture on the Insert tab, navigate to the desired image, click Open, and the image will appear.

What is Picture dialog box?The Image dialogue box inserts an image at the current cursor location regardless of what text is selected. Below are descriptions of each option and a screenshot of the Image dialogue box. picture sourceAn Open File dialogue box will appear when you click the ellipsis (...). When you right-click a file in Microsoft Windows and select Properties, the Properties dialogue box appears. To close a dialogue box or cancel it, use Esc. By hitting Alt-Tab while browsing open windows and dialogue boxes, you can bring hidden dialogue boxes to the foreground using the Windows task bar. A bitmap, metafile, icon, JPEG, GIF, or PNG file can typically be displayed graphically using the Picture Box. The image you want to display should be set in the Image property, either during design or during runtime.

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Aarav’s baby girl keeps crawling around the house and trying to put everything she can find into her mouth. How would Piaget BEST describe this stage?

concrete-operational stage

formal-operational stage

sensorimotor stage

preoperational stage

Answers

Answer:

Sensorimotor stage

Explanation:

The sensorimotor stage is Ages 2 and below. Usually, babies who are the age of 2 will crawl around curiously looking for things to touch and put in their mouths. Hope this helps <3

If you are over 18 in Florida, you do not need to wear a seat belt in the front seat.
A. True
B. False?

Answers

Answer:

I think you do because it is not safe

False bc if u don’t, and u stop suddenly u can crash out the window and die

I need help with proposal #1 and #4.

Answers

This would depend on a careful examination of the law's specific provisions and the arguments presented by both sides in a court case.

How to explain the case?

It is difficult to say for certain what the Supreme Court would rule, as the interpretation and application of the Second Amendment to the US Constitution is complex and often disputed.

However, the Supreme Court has previously upheld reasonable regulations on firearms, such as restrictions on the sale of machine guns and sawed-off shotguns. It is possible that a law banning the manufacture or sale of weapons that can fire more than six rounds per minute could be considered a reasonable regulation and therefore upheld as constitutional.

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Which country would be MOST LIKELY to educate young mother’ on parenting?

Japan
Chile
Italy
South Africa
Each country i truggling in health care

Answers

The majority of nations that struggle with health care would educate new mothers on parenting.

Early Childhood and Maternal Home Visiting (MIECHV) Program

The MIECHV Program promotes home visits for expectant mothers and parents residing in at-risk neighbourhoods. Visits to the home by a nurse, social worker, early childhood educator, or other qualified professional encourage effective parenting and enhance family health. The Health Resources and Services Administration, which oversees the MIECHV Program, provides financing to states, territories, and tribal organisations (HRSA).

Healthier mothers and children in America are the goal of the Healthy Start initiatives, which get financing from HRSA on a federal level. Infant mortality rates are decreased through Healthy Start, which also makes early prenatal care more accessible and lowers obstacles to healthcare. A total of 34 states, Washington, DC, and Puerto Rico had 101 Healthy Start initiatives in 2019.

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Explain two physical attributes of God​

Answers

Answer:

omniscience (all-knowing), omnipotence (all-powerful)

Explanation: God knows everything, has the power to do anything and is perfectly good.

Explain the impact of the type of agriculture practiced in South America

Answers

Answer:

Many crops thrive in the tropical climates of South America. Cashews and Brazil nuts are cultivated. Fruits such as avocado, pineapple, papaya, and guava are also native to tropical South America. Two very important cash crops are coffee and cacao

What is TRUE about psychosocial development?

It combines cognitive development with emotional development.

It is the key focus of Piaget’s creative experiments with children.

It is very dependent on how parents treat their children as they grow up.

It supports the critical period hypothesis that a child must be happy by age three.
(This test is on gradpoint if anyone has the rest of the answers please share them)

Answers

Answer: It is very dependent on how parents treat their child as they grow up.

Explanation:

What’s a future of Samarkand that Europeans could experience

Answers

Answer:

Europeans visiting Samarkand could experience a vibrant city rich in culture and history. Samarkand is a city of great antiquity, with many monuments and sites of scientific, cultural, and historical significance. In addition, Samarkand has a thriving tourism industry, with numerous hotels, restaurants, and attractions for visitors to experience. The city is also home to a number of universities, offering educational and research opportunities for locals and visitors alike.

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