What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?

1. Apply the formula for the volume of a cylinder: V = Bh

2. Substitute the known measures into the formula: 174π = B(12)

3. Apply the division property of equality:
174π
12
= B
12
12

The area of the base of the cyclinder is
π in.2.

Answers

Answer 1

Answer:

14.5 in²

Explanation:

A cylinder is the locus of a line moving parallel to the axis and at a fixed distance from the axis.

The volume of a cylinder (V) is:

V = πr²h, where h is the cylinder height, r is the radius of the base.

But The base area (B) = πr², hence

V = Bh

Given that height (h) = 12 inches, volume (V) = 174π in³, the base area us gotten using:

V = Bh

174π = B(12)

Dividing both sides by 12:

174π / 12 = B(12) / 12

B = 14.5π in²

Hence the area of the base of the cylinder is 14.5 in²


Related Questions

A) Analyze how each of the following factors contributed to western settlement from 1854 to 1890.
Desire for natural resources
Federal government policies
Technological developments
B) Explain how that settlement led to conflicts with and damage to American Indian communities.

Answers

Answer:

A) Analyze how each of the following factors contributed to western settlement from 1854 to 1890: 

-The desire for natural resources including fertile land, timber, and precious metals and minerals that had been discovered in western territories contributed to western settlement from 1854 to 1890 because the opportunity to profit from these newly available resources drew both independent settlers and corporate interests to the West. The discovery of gold in western territories sparked the Gold Rush, as prospective gold diggers migrated En Masse into the Rocky Mountains and Pacific Northwest. Settlers of the west were also inspired by the ideology of Manifest Destiny, the idea that Americans were divinely ordained to settle the entire North American continent.

-Federal government policies contributed to western settlement from 1854 to 1890 because the government passed legislation which encouraged western settlement. The Homestead Act granted large amounts of western land to citizens who met certain requirements, and people were drawn by the availability of cheap land for farming, logging, and ranching. The US government also helped westward expansion by promoting trade and transportation-granting land to railroad companies and extending telegraph wires across the country. The Indian Appropriations Act of 1851 established the reservation system; reservations of specific land for American Indians to inhabit as a method of keeping Native American tribes off of the lands that white Americans wished to settle.

-Technological developments contributed to western settlement from 1854 to 1890 because they made it possible for people and resources to migrate more easily and more quickly into western territories. Improved transportation by rail brought settlers to the American West, and extended telegraph wires across the country allowed settlers to communicate more efficiently with the rest of the country. Technological developments in land development, mining, and new agricultural machinery allowed settlers to more easily extract resources from the new land which they needed to live and make income. The railroads opened up the West not only to settlement but to the world market, making it possible to ship meat and crops to distant cities and even across oceans

B) Explain how that settlement led to conflicts with and damage to American Indian communities-

Western settlement led to conflicts between white settlers and American Indians over land and natural resources which resulted from Indian resistance to the imposition of the reservation system and the repeated attempts of the US Army to forcibly remove Native Americans from their tribal lands, damaging American Indian communities. Relations between white Europeans and Native Americans were dictated by competition for natural resources that had been discovered in western territories. Because settlers of the west were inspired by the ideology of Manifest Destiny, they settled further into western territory believing that it was their right and destiny to do so. Because these settlers took over the lands that Indian tribes inhabited and used, they increasingly came into violent conflict with Native American Indians that they encountered over land and natural resources. The settlement also led to conflicts between the U.S. government and American Indian communities because of differences between Native American and American conceptions of land and ownership. Because the Indian Removal Act of 1830 which authorized the forced removal of Indian tribes from their ancestral lands in the Southeast to designated “Indian territory” west of the Mississippi River had resulted in fierce resistance to the forced relocations that was crushed by the force of the U.S. Army, Native Americans in the west resisted the imposition of the reservation system on their own territories established by the Indian Appropriations Act of 1851 in the same way, sparking a series of bloody battles that ultimately led to the forced relocation of most Native Americans onto the reservations. The discovery of gold in the Black Hills region of South Dakota brought prospective miners into the area and onto the hunting grounds of the Sioux Indians. The US Army responded to the pleas of the white settlers and miners for protection against the Sioux, resulting in the Battle of the Little Bighorn. This conflict was significant because although it was a major victory for the Sioux, they abandoned their encampment fearing further reprisals from the US Army, which marked the beginning of the end of the Indian Wars, as remaining tribes were forced to cede their lands and move onto the reservations.

Explanation:

A) The start of the closing of the American frontier was the creation of the transcontinental railroad, which drastically increased the speed of settlement in the west. The railroad had cut the time it took to cross the US from 8 months to 1 week, dramatically increasing the flow of people from one side of the country to the other. A result of the railroad was the land grants that were given to the railroad companies, who in turn sold them to create settlements, towns, and land grants for farmers.

Additionally, The US government had passed the Homestead Act, which granted 160 acres of public land for a small filing fee and a few restrictions. Settlers immediately began to take advantage of this act, striking it out in the West to start new farms and homes. The government had also begun to pass policies such as the Indian Appropriations Act of 1885. This allowed American Indians to sell unoccupied lands to settlers. The Indian Appropriations Act of 1889 additionally allowed white settlers to claim tribal lands through homesteads.

Another motivation for moving into the west presented itself in the form of gold. In 1874, gold was discovered in the Black Hills of South Dakota, starting another land rush. This desire for natural resources led to the mass movement of many people, filling up the west even more.

B) However, as settlers began to push further and further into the west, the American Indian communities that had already settled there began to be pushed off of their land and confined further into smaller territories. The government attempted different approaches to conserve American Indians, including creating reservations and assimilating the American Indian people into white culture. The conflict between the settlers and American Indians grew, eventually starting the Great Sioux war.

1. The role of the "yellow journalism” in the Spanish American War can best be described as:

Answers

Answer:

Yellow journalism contributed to the start of the war by swaying peoples opinion to be in support the war.

Answer:

It was a form of propaganda used to make the spanish go to war by exaggerating events.

Which of these events happened last? Agriculture began. Hammurabi’s Code was developed. Cuneiform was first used. Sumerian civilization arose.

Answers

more information please, need just a tib bit

What was the problem that New York City faced with the Statue of Liberty?

Answers

Answer:

Money and Assembly

Explanation:

Explain what is meant by "majority opinion".
Your answers

Answers

It basically means that most people have the same opinion :)

Under what ruler did the Byzantine Empire
reconquer large areas of the Western Roman
Empire?

Answers

Answer:

Justinian I was the ruler of the Byzantine Empire that reconquered large areas of the Western Roman Empire.

Explanation:

Yo Im to lazy please help me out !?! ASAP

Answers

Answer:

beginning of world war two

Explanation:

Answer:

its A

Explanation:

..................

how did the colonists express their discontent

Answers

Answer:

I wrote ALOT sorry.

Explanation:

On March 5, 1770, a group of colonists—mostly youths and dockworkers—surrounded some soldiers in front

of the State House. Soon, the two groups

began trading insults, shouting at each

other and even throwing snowballs.

As the crowd grew larger, the soldiers

began to fear for their safety. Thinking

they were about to be attacked, the soldiers fired into the crowd. Five people,

including Crispus Attucks, were killed.

The people of Boston were outraged

at what came to be known as the Boston

Massacre. In the weeks that followed, the

colonies were flooded with anti-British

propaganda in newspapers, pamphlets,

and political posters. Attucks and the

four victims were depicted as heroes

who had given their lives for the cause

of freedom. The British soldiers, on the other hand, were portrayed as evil

and menacing villains.

At the same time, the soldiers who had fired the shots were arrested and

charged with murder. John Adams John Adams, a lawyer and cousin of Samuel Adams,

agreed to defend the soldiers in court. Many people criticized Adams and

some even threatened to harm the lawyer. But Adams believed that everyone—including the British soldiers—was entitled to a fair trial. Although

Adams supported the colonists’ cause, he wanted to demonstrate that everyone was subject to the rule of law.

Adams argued that the soldiers had acted in self-defense. The jury agreed

and acquitted the soldiers. To many colonists, however, the Boston Massacre

would stand as a symbol of British tyranny in the colonies.

 

In April 1770, Parliament repealed the Townshend Acts. Once again, the

colonial boycott had worked—British trade had been hurt and Parliament

had backed down. But Parliament kept the tea tax to show that it still had

the right to tax the colonists.

The Tea Act Increases Anger To demonstrate their displeasure with the

remaining tax on tea, many colonists chose not to purchase luxuries from

British merchants. Instead, they drank tea that was smuggled from Holland.

As a result, many British tea companies lost money in America as their tea

went unsold and rotted in ports.

Answer:

The colonists showed their discontent by dumping tea boxes into the water during the Boston Tea Party.  

Explanation:

The colonists didn't want to be taxed on tea.

What type of sacrifice did the Aztecs practice?​

Answers

Answer:

ritual cannibalism.

Explanation:

an Atztec human sacrifice atop the Mesoamerican temple pyramid.

Plz, Help me with this question?

Answers

Answer:

last oneeeeeeeejsjzjzijddidjd

Which economic system has high stability and but limited to no freedom?

Your answer:


market

command

traditional

mixed

Answers

Answer:

Command

Explanation:

They have the least amout of freedom for any economic system.

What technology allowed the 95 Theses to spread through Europe so quickly?

Answers

Answer:

Printing press

Explanation:

The printing press was allowed for quicker production of text, as well as having the ability to duplicate in the thousands. A single pamphlet would be carried from one town to another, where it could duplicate even more.

4. Which was NOT one of President Woodrow Wilson's Fourteen Points ?
A. Creation of an independent Poland
B. Lenient treatment of the Central Powers
C. Creation of a peace-keeping association of nations
D. Autonomous development for the peoples of Austria-Hungary and the Ottoman Empire

Answers

Answer:

A Creation of a Independent Poland

Explanation: Creation of a Independent Poland was not one of the Fourteen Points from President Woodrow Wilson.

The creation of an independent Poland  was NOT one of President Woodrow Wilson's Fourteen Points. Thus option (A) is correct.

What was Woodrow Wilson's Fourteen Points?

The President Woodrow Wilson proposed a 14-point program for world peace. These points were later taken as the basis for peace negotiations at the end of World War I.

Wilson directly addressed what he perceived as the causes for the world war by calling for the abolition of secret treaties, a reduction in armaments, an adjustment in colonial claims in the interests of both native peoples and colonists, and freedom of the seas.

Wilson also made proposals that would ensure world peace in the future. He proposed the removal of economic barriers between nations, the promise of “self-determination” for oppressed minorities.

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What branch is having its power checked when congress refuses to approve judicial appointment

Answers

Answer: Executive

Explanation: Whenever a President (Executive Branch) appoints a Supreme Court judge (Judicial Branch), Congress (Legislative Branch) must approve the Judge. If the see the judge as unfit, they can reject them forcing the president to pick a new candidate.

When a composer wrote a piece of music for a certain occasion, what was that called?

Answers

Answer:

Commission

Explanation:

In what way does the power of the judicial branch to "interpret laws" (Judicial Review) act as a check?

A

Courts can declare Judicial Acts unconstitutional.

B

Courts can declare laws unconstitutional.

C

Courts have the power to impeach.

D

Courts can propose amendments.

Answers

Answer:

The answer is B courts can declare laws unconstitutional

Explanation:

Which statement best completes the diagram?
Cause
Effect
?
Women take on more public
roles in the late 1700s and
early 1800s.
A. Women win the right to vote for state and local leaders.
B. Women become leaders in the temperance movement.
C. Women gain the right to work outside the home.
D. Women are given control over most public school systems.
PLEASE HURRY

Answers

Answer:

B

Explanation:

Women become leaders in the temperance movement best completes the diagram. Thus, the correct option is B.

What do you mean by temperance movement?

The temperance movement aims to encourage the use of alcoholic beverages in moderation or, more frequently, completely abstinence.

While abstinence pledges had been introduced by churches as early as 1800, the first temperance groups appear to have been those established in Massachusetts in 1813 and Saratoga, New York, in 1808, respectively.

Under the influence of the churches, the movement spread quickly; by 1833, there were 6,000 local organizations in various American states. Some pro-temperance activists, most notably Carry Nation, operated very successfully outside of the formal movement.

Ireland was the home of the first European organizations, and the Ulster Temperance Society's founding in 1829 marked a significant turning point for the cause. The movement then extended to Great Britain and all of Ireland.

In 1873, the Church of England Temperance Society was reorganized after its founding in 1862. The National Police Court Mission and it merged in 1969 to become the Church of England Council for Social Aid. The oldest temperance groups on the continent appear to have existed in Norway and Sweden in 1836 and 1837, respectively.

Learn more about temperance movement, here

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How did Muslim scholarship MOST influence medicine in other civilizations?


A

Islamic medical books were translated into other languages.


B

Muslim doctors traveled with trading caravans.


C

Muslim merchants were trained in medicine.


D

Islamic mosques also doubled as hospitals.

Answers

Answer:

A

Explanation:

I had researched it, and it said they translated the books.

A Islamic books were translated

The Roaring 20's helped to create the depression because people spent too much and borrowed too much money.
True
False

Answers

Answer:

True.

Explanation:

After World War I, there was growing optimism and economic growth in America. The use of the car grew rapidly, and people distanced themselves from many of the social conventions that had already been challenged during the war. There was a lot of investment in shares of car manufacturers in particular and optimism increased by hand. However, this lost sight of realism, especially the fact that the market was becoming saturated, companies had already started laying off staff, and the economy slowed down. When the bubble burst and stock prices plummeted, the mood turned quite suddenly into panic. This was followed by a very severe and protracted economic depression, the Great Depression.

When Muhammad was a boy, he received religious teaching from whom?
Group of answer choices
Jews
Polytheists
Protestant Christians
Nestorian Christians condemned to be heretics

Answers

D. Nestorian Christians condemned to be heretics

What other groups should be prioritized for the new vaccine?

Answers

Answer:

Nobody hopes this helps :D

Explanation:

Hindu belief that there is a certain, right way for each person to live ?

Answers

Answer:

I think the answer is The 4 Nobel Truths.

Why did the Visigoth general Alaric invade Rome? (1 point)

Question 22 options:

1)

to build the Visigoth empire

2)

to re-establish the pagan religion

3)

to escape the Huns

4)

to merge with the Ostrogoths

Answers

Answer: To escape the Huns

Explanation: He feared the Huns and fled into Italy he ran into Rome and crushed it.

Answer:

huns

Explanation:

Many Arabic people felt betrayed by great Britain because they were led to believe that great Britain would prevent the creation of a Jewish home state as a result of what?

Answers

The correct answer to this open question is the following.

Although there are no options attached, we can say the following.

Many Arabic people felt betrayed by Great Britain because they were led to believe that Great Britain would prevent the creation of a Jewish home state as a result of their support in the war.

However, this bever happened, And it is correct to say that many Arabic people felt betrayed when the government of England issued the Balfour Declaration on November 2, 1917.  

It was the last year of World War I, when Great Britain issued the declaration to establish an official territory for the Jews in the lands of Palestine, in that moment it was a territory occupied by the Ottoman Empire.

Of course, this decision infuriated teh Arab people and initiated a series of permanent conflicts and wars between Jews and Palestinians.

The coastal-route theory suggests that people may have first arrived in the Americas by crossing _____.


A.) the open Pacific on a raft and reaching the coast of South America.


B.) the land bridge but spreading south along the Pacific coast instead of moving inland.


C.) from Greenland or Iceland in large ships and traveling south along the Atlantic coast.


D.) the arctic waters by boat and traveling south along the Pacific coast.

Answers

Answer:

B.) the land bridge but spreading south along the Pacific coast instead of moving inland.

Explanation:

According to this theory, humans first arrived in the Americas by crossing the kueril islands, and all the other islands across the Pacific coast of what is now Alaska, Canada, and the Pacific Northwest in the U.S, all the way to Central and South America.

This theory suggests that humans inhabited the inland regions of the Americas starting from the Pacific, which contradicts the main theory (the most accepted) that establishes that humans arrived by crossing the Bering Strait.

What factors helped nationalism take hold in Germany and Italy? (

Answers

Answer:

The way the Treaty of Versailles represented Italy and Germany was one of the biggest factors that stimulated nationalism in these countries.

Explanation:

Both Germany and Italy were badly damaged by the Versailles treaty made at the end of the first world war. This caused the two countries to show a strong resentment towards the other European countries, which stimulated the feeling of extreme nationalism in both countries.

Germany was completely held responsible for the first world war, as well as suffering very violent sanctions that destabilized it economically, militarily and politically.

Italy, on the other hand, despite being among the winning countries of the war, received the gains fairly.

A lot of  factors can aid nationalism. The rush or the push of German nationalism, was influenced by;

The experience of Germans in the Napoleonic period.The development of a German cultural and artistic identity.Growth of the transportation sector through the region,

All the above factors did move Germany toward unification in the 19th century.

The beginning of German nationalism started with the birth of romantic nationalism in the Napoleonic Wars. This was where Pan-Germanism started to rise. People began to stand or agitate for German nation-state due  to the invasion of German territories by France under Napoleon.

Learn more about nationalism  from

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What was the purpose of the bureau of Indian affairs?
To manage reservations
To provide trails for trappers
To negotiate with homesteaders
To assimilate native people

Answers

Answer:

To manage reservations is the answer. A

Tell me if wrong. :) Hope it helps though!

Explanation:

A i think?? ( Not sure though)

Strived to keep a balanced budget

Supported annexation

Encouraged peace with Native Americans

Pushed for recognition by other countries

This information was included in a slide show presentation to a middle school history class. Which prominent Texas Revolutionary leader was the focus of this presentation?



A David G. Burnet

B Stephen F. Austin

C Sam Houston

D Mirabeau Lamar

Answers

Answer:

c

Explanation:

sam houston wanted peace for the people im in history class taking a test of this and I        jus know cfisd thorton middle school 7th grade

Did Industrialization lead to progressive changes for everyone who lived in the United Kingdom during the 19th Century?

Answers

i just had my phone number and lord lord president president and president president of president president lord president president and

What was one impact of Jefferson's Louisiana Purchase?

Answers

Answer:

Here is your answer mate

The Louisiana Purchase eventually doubled the size of the United States, greatly strengthened the country materially and strategically, provided a powerful impetus to westward expansion, and confirmed the doctrine of implied powers of the federal Constitution.

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