PracticeQuiz content is free on an ad-supported model.

Unfortunately, we can't support ad blocker usage because of the impact on our servers. If you'd like to continue, please disable your ad blocker and reload page.

Reload page

SAT Prep

Category - Math

Start a Study Session Sign up for Question of the Day

What is the volume of a cylinder whose perimeter of the base is , and height is equal to the diameter of the base?

144π
169π
216π
225π
432π

Explanation

Answer: E - The volume of the cylinder is 432 . Find the radius of the base from the perimeter.
P=2rπ⟺12π=2rπ⟺r=12π/2π=6
H=d=2r=2×6=12
V=r² πH=6² π×12=36π×12=432π

Previous Next

Was this helpful? Upvote!

Start a Study Session Sign up for Question of the Day

Related questions

3 votes

What is the union of A = {factors of 6} and B = {solutions of x2 = 4}?
3 votes

The Mongols: More than just Another Nomadic TribeHistorians have been quick to portray pastoral nor nomadic groups as being dedicated to both agriculture and transitioning from one location to another. This is based on the needs of the people and the restraints of the land where the nomadic people were residing. For the most part, these pastoral groups were peaceful, sharing their skills and talents with those around them. Their focus was not on conquering or defeating those around them. The Mongols are represented quite differently in history books. The Mongol people refute the stereotypical nomadic tribes in that they were not farmers, did not contribute the typical products of other civilizations, did not restrict the power of women, and were focused on dominating others. When one hears the word “nomad”, it is almost synonymous with agriculture and farming, but for the Mongols this was untrue. Rather than focusing their lives around farming and the relocating that this entailed, the Mongols worked to domesticate animals. Comparatively, this creates immense contrast between what historians have portrayed about nomadic groups and the Mongols. In addition to the absence of farming, Mongols did not focus on elaborate designs. Whereas other cultures were working to build impressive cities that gained prestige and captivated spectators, the Mongols did not use their talents to complete such displays. Perhaps, instead of focusing efforts on leaving a legacy, the Mongols were focused on utilizing the talents of their entire population. Most nomadic tribes were unwilling to denote equality between men and women; this is not true of the Mongols. For them, women were an invaluable part of the community. Agricultural civilizations viewed women as highly restricted, yet the Mongols allowed women to maintain a higher status in society, even serving as partisan mentors and being vocal in military matters. Another huge contrast was a woman’s ability to start divorce proceedings. The comparisons make clear that the Mongols were not just another nomadic tribe. While the Mongols were certainly focused on survival, they were also interested in spreading their influence worldwide. The typical peacefulness ended with the Mongols in pursuit of world dominance. The Great Wall of China was built because of the Mongols. In brief, the Mongols were not typical pastoral people. They replaced farming with herding animals and exchange a cultural imprint for an attempt at world dominance; furthermore, they appreciated the contributions of males and females alike. Clearly, history’s representation of nomadic people is atypical for the Mongols, who were more than just another pastoral tribe. Which of the following ways could the following sentence best be revised and combined into one statement? Their focus was not on conquering or defeating those around them. The Mongols are represented quite differently in history books.
3 votes

Google’s library of over five million digitized books is a well-known public resource. A little-known feature of that resource is the accompanying, searchable database, which allows users to search words or phrases and track their frequency over time. The Google Ngram Viewer accesses books published as early as the sixteenth century, and as recently as 2010. Using the database has provided sociologists and students of cultural trends a unique insight into the births and lifespans of trends and cultural norms. It also sheds light on the rise and fall of public figures and well-known places in terms of cultural relevance. For example, in 1636, Boston was mentioned in published works one hundred times more frequently than New York, and over a thousand times more frequently than Philadelphia. Less than thirty years later, in 1666, authors mentioned Philadelphia ten times more frequently than either of the other two cities. Historians can use this information to trace the formation of political ideas, the development of colonial unrest, and the development of economic and cultural centers. From the American Revolution through the Civil War, the three cities were noted with almost equal frequency. Following the Civil War, coinciding with the Industrial Revolution, New York quickly emerged as the most referenced of the three cities, indicating the reconfiguration of economic power in a new economy. Because perspectives of what are considered well-known historical events can be skewed by popular culture, information such as that provided by Ngram Viewer is exceptionally valuable. In a 2012 paper published in the academic journal Science, Harvard University researchers Jean-Baptiste Michel and Erez Lieberman Aidan labeled the use of data from Ngram Viewer for analysis “culturomics.” They chose the term to reflect the use of trends to develop conclusions in research. Furthermore, Michel and Aidan proposed the use of Ngram Viewer as a new way to mine evidence for research in the humanities, and suggested that the availability of information could lead to new fields within the humanities. By graphing what people found important enough to write about over the centuries, researchers can make connections between new technologies or ideas and how long it took for them to become adopted. For example, the term radio first appears in print around 1900, probably in reference to wireless Marconi radios. The popularity of the term spikes dramatically until 1944, around the time television was introduced, then begins to drop off. However, it is not until 1982 that the word television appears in print more frequently than radio. These trends indicate that while the popularity of radio declined as that of television increased, the change in cultural interest was anything but sudden. This same trend is evident in comparing the words horse and car. While horses peaked in mentions in print in 1860, the decline was so gradual that it wasn’t until 1950 that cars were mentioned more frequently. Does this data prove that more people owned horses than did cars up until 1950? It isn’t likely. It does, however, demonstrate that writers and the media maintained a steady interest in horse travel even as the popularity of automobiles skyrocketed in the post-WWII era. Speaking of wars, WWI was popularly referred to as The Great War until World War II made it necessary to distinguish between two large-scale conflicts. Predictably, use of the term The Great War peaked in 1921, just a short time after the war ended. However, popular usage of the term WWI did not appear more frequently in print until 1976. For over fifty years after the end of WWI, and through WWII, the Korean War, and the Vietnam War, writers demonstrated a preference for the older term. Researchers in the humanities can point to several reasons for this slow adoption of the newer term. First, the term The Great War is certainly more dramatic, and writers of war histories likely prefer it for its ironic appeal. Second, for some time following the war, most of the writers may have lived through the war and used the term that was popular in their own time. Finally, WWI has been referred to as the most literary war of the modern era. Writers and poets such as Ernest Hemingway and Alan Seeger gained prominence because of their experiences. Their works are referenced in many succeeding works, which could account for the preservation of the term. There are also some surprising trends. For example, “immigration” was a popular topic in the early 1600s, but that interest dropped off dramatically to hardly a mention by the end of the century, and the term would not be as popular again until 1904. It was not the case, of course that there was no immigration over those 300 years. In fact, the term “emigration” increased in popularity from the early 1600s until the mid-1800s. This data demonstrates the point of view of the majority of writers in that time period. Until the period following the American Civil War, most of the writers considering the subject of migration were likely writing from the point of view of Europeans, rather than Americans. There is some evidence that applying Google’s Ngram Viewer’s technology to more finite text sets could have value as a predictive tool. For example, data mining large quantities of digital text has shown promise in predicting political events. Researchers tracking media reports were able to accurately predict the 2011 Arab Spring, based on the frequency of specific terms in local media that had previously appeared in other areas where political unrest had recently emerged. Despite the interesting data that can be plotted based on one or two words at a time, some in academia are less enamored of the technology. In a recent paper, one researcher pointed out the limitations that could lead to skewed data. “…Many voices - already lost to time - lie forever beyond our reach.” This comment, of course, refers to books that have not been digitized, newspapers that were never archived, and volumes of private or professional writing that were never preserved. One has to consider what criteria were applied when every text was preserved, and again, when each was committed to its second, digital life. Ngram Viewer is biased, in fact, by decisions made decades or even centuries ago regarding which writing was worthy of the ages.In the seventh paragraph the author discusses the relative frequency of use of the terms immigration and emigration from the 1600s to 1904, and writes that the relative frequency of terms reflects the points of view of the writers. What difference between the words is the author referring to?

Most popular on PracticeQuiz

208 votes

An 8-year-old boy named Albert has a 10-year-old brother named Benny. Benny joins the service at 20 leaving Albert feeling bitter that he no longer has a brother to look up to. After 7 years, Albert is finally ready to make up with Benny who has been out of the service for 5 years. How old is Albert now? GED Exam Prep: Math
196 votes

You are attempting to gather information from a patient, but they are having a hard time trying to communicate since they were hit in the throat by a baseball bat. What is the function of the vocal cords? NREMT Advanced EMT
182 votes

Using motivation from ‘within’ is called ______________. CPCE Exam Prep
174 votes

The lymphatic system contains four organs: Medical Coding Exam Prep
125 votes

“A set of specialized organizational capabilities for providing value to customers in the form of services” is the official definition of: IT Service Management Foundation Practice Test

Ad-Blocker not supported

SAT Prep

Top questions

Related questions

Most popular on PracticeQuiz