What is the exact volume of a cylinder whose radius is 13 meters and whose height is 20 meters?

Enter your answer, in terms of π in the box.
in the box.
____ m³

PLEASE HELP 25 POINTS !!

Answers

Answer 1

The exact volume of the cylinder is [tex]\( 3380\pi \)[/tex] cubic meters.

To find the exact volume V of a cylinder, we use the formula:

[tex]\[ V = \pi r^2 h \][/tex]

where:

- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159,

- r is the radius of the cylinder, and

- h is the height of the cylinder.

Given:

- Radius (r=13) meters, and

- Height (h=20) meters.

Substitute these values into the formula:

[tex]\[ V = \pi \times (13)^2 \times 20 \]\[ V = \pi \times 169 \times 20 \][/tex]

[tex]\[ V = 3380\pi \][/tex]

Answer 2

The exact volume of the cylinder is 10,613.2 cubic meters.

To find the volume of a cylinder, we use the formula: Volume = πr²h, where π (pi) is approximately 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

Given:

Radius (r) = 13 meters

Height (h) = 20 meters

Calculate the area of the base (circle) using the formula A = πr².

A = 3.14 × (13)²

A = 3.14 × 169

A = 530.66 square meters

Multiply the area of the base by the height of the cylinder.

Volume = 530.66 × 20

Volume = 10,613.2 cubic meters

So, the exact volume of the cylinder is 10,613.2 cubic meters.


Related Questions

Does the image represent A function or a relation?

6
4
2

Answers

what about this picture/function/expression?

well, we have 3 points over the y-coordinate, but but but, every point has the same x-coordinate, whatever that might be, and so they form a vertical line.

does this straight vertical line pass the vertical line test? nope.

other way to see it is, a function has no x-repeats, the x-coordinate for every point must not be repeated, in this case it is the same for all, so it repeats thrice, so is not a function, just a relation.

Calculate the work done. A tractor pulls a heavy log with a force of 100 pounds. The log moves 3 feet.

1,000 ft-lbs
3,000 ft-lbs
130 ft-lbs
300 ft-lbs

Answers

Answer:

300 ft-lbs

Step-by-step explanation:

For work like this,

Just multiply 100 times 3.

You always just multiply the two numbers

Example:

Calculate the work done.

A crane lifts 5,000 newtons to the top of a roof which is 6 meters high.

3,000 ft-lbs

30,000 Nm

5,000 Nm

300 Nm

5,000 x 6 = 30,00

it can also be done like this

5 x 6 = 30

+ 00 = 30,00

The work done is 300 ft-lbs, the correct option is D.

What is the work done?

The multiplication of the magnitude of displacement d and the component of the force that is in the direction of displacement is called work done.

Work done is positive when the energy leaves the system. Here, the system is making an effort on the surroundings.

A tractor pulls a heavy log with a force of 100 pounds.

The log moves 3 feet.

The work done is given by;

[tex]\rm Work \ done=Force \times Displacement\\\\Work \ done= 100 \times 3 \\\\Work \ done=300\ ft-lbs[/tex]

Hence, the work done is 300 ft-lbs, the correct option is D.

Learn more about work done here;

https://brainly.com/question/15184857

#SPJ2

True or False ? The distance formula is equivalent to the Pythagorean theorem if you are
trying to find the distance between a point in the plane and the origin.

Answers

I believe that it is true due to it, the distance formula uses x and y coordinates. So, they're the same thing in two different types, or so..

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

What is the area of the composite figure

Answers

Answer: Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below.

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Factories 24x^2-41x+12

Answers

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

How many cubes with side lengths of 1/4 does it take to fill the prism?​

Answers

Answer:

[tex]\large\boxed{224\ cubes}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(2)\left(\dfrac{7}{4}\right)(1)=3.5\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{4}\right)^3=\dfrac{1}{64}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3.5}{\frac{1}{64}}=3.5\cdot64=224[/tex]

[tex]\bold{METHOD\ 2}\\\\2cm:\dfrac{1}{4}cm=2\cdot4=8\\\\\dfrac{7}{4}cm:\dfrac{1}{4}cm=\dfrac{7}{4}\cdot\dfrac{4}{1}=7\\\\1cm:\dfrac{1}{4}cm=1\cdot4=4\\\\8\cdot7\cdot4=224\ (cubes)[/tex]

F= 8/5 (c) + 40 when c=5

Answers

Answer:

F = 48

Step-by-step explanation:

F= 8/5 (c) + 40

Let c=5

F = 8/5 * 5 +40

  = 8 + 40

  = 48

The answer would be F=48

8/5•5+40

Reduce the numbers

8+40

Add

F=48

Peter bought some bicycles for 4,000 he sold them for 6,200 making $50 on each of the bicycles how many bicycles were there​

Answers

Answer:

44 bicycles.

Step-by-step explanation:

First we find how much profit he made by subtracting 6200 by 4000. When we do this, we get 2200.

Then, we divide 2200 by 50, because he earned 50 for each bike, which gives us 44.

Answer:

there were 124 bicycles. : )

Step-by-step explanation:

The diagram above shows the plan of a drive way to a house.

The driveway is made from concrete. The perimeter of the driveway is 64 m. The concrete is 15 m thick. Now calculate the volume of concrete used for the driveway. Give your answer in cubic meters..

A challenging question.. Someone please help me.. ​

Answers

First you want to find the area of the driveway. The easiest way to do this is to separate the rectangles. The area of the small rectangle will be 6 because 2x3=6, the area of the large rectangle will be 216 because 18x12=216. Then you will add the two areas back together, 216+6=222. Using the formula volume=baseXheight you will do 222x15 to get 3,330 cubic meters (because height and depth work the same)

Final answer:

The volume of the driveway is calculated by multiplying the area of the driveway by the thickness. The volume will be in cubic meters if all measurements are in meters. For accurate calculation, more specific dimensions are needed beyond just perimeter and thickness.

Explanation:

To help calculate the volume of the concrete used in the driveway, you'll need the perimeter and the thickness of the driveway. The perimeter being stated as 64m doesn't give us enough detail because to calculate the volume of a prism (which the driveway essentially is), we need the area of the base (in this case the area of the driveway's surface), not just the perimeter.

However, if we assume that the driveway is of a standard shape like a rectangle and you also have the structural width, you could calculate the area and then the volume. Here's a generic explanation:

1. If you have a rectangular drive, area would be calculated as length * width.

2. You then calculate volume by multiplying the area by the thickness of the driveway. That is, Volume = area * thickness.

Note: This will give you the volume in cubic meters provided all measurements were in meters.

For us to compute this for your driveway, we'd need more dimensions in addition to the 15m thickness and 64m perimeter.

Learn more about Volume Calculation here:

https://brainly.com/question/34259963

#SPJ11

What would be the surface area of the prism if the length of each side is cut in half?
A)165 square centimeters
B)178 square centimeters
C)181 square centimeters
D)362 square centimeters

Answers

11/2 = 5.5

10/2 = 5

12/2 = 6

SA = 5.5 x 5 x 2 + 5.5 x 6 x 2 + 5 x 6 x 2

SA = 55 + 66 + 60

SA = 181

The answer is C) 181 cm²

Correct Option is C , 181 square cms.

l = 11cm

b = 10cm

h = 12cm

Surface Area of Cuboid:

A cuboid has 6  rectangular faces, the surface area of the whole cuboid is the sum of 6 rectangular surface areas of cuboid.

surface area = l x b + b x h + h x l + l x b + b x h + h x l

Surface area of cuboid = 2 x ((l x b) + (b x h) + (h x l))

When the length of each side is cut in half so, l, b and h decreases by 2.

l =  [tex]\frac{l}{2}[/tex] = [tex]\frac{11}{2}[/tex] = 5.5cm

b = [tex]\frac{b}{2}[/tex] = [tex]\frac{10}{2}[/tex] = 5cm

h = [tex]\frac{h}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6cm

Surface Area of the cuboid = 2 x ((l x b) + (b x h) + (h x l))

=>  2 x ((5.5 x 5) + (5 x 6) + (6 x 5.5))

=> 2 x (27.5 + 30 + 33)

=> 2 x (90.5)

=> 181 [tex]cm^{2}[/tex]

Learn more about Surface area of cuboid here:https://brainly.com/question/16955358?referrer=searchResults

#SPJ2

Each day for several days, the change in the price of a share of stock was -$3. The total change in price during those days was -$36. Over how many days is the price decline?

Answers

12

Step-by-step explanation:

-36/3 is -12 which means 12 days of decline thank u come again

Final answer:

To determine the number of days over which the price of a stock declined by $36 at a rate of $3 per day, divide the total change by the daily change, resulting in 12 days.

Explanation:

The problem described is a typical arithmetic problem where we want to find out over how many days a stock has declined in price if it dropped by a certain amount each day. To solve this, let's use linear equation reasoning. The total change in the price of the stock is -$36, and the daily change is -$3. We can express the total change (T) as the product of the daily change (d = -$3) and the number of days (n), so we have T = dn.

To find the number of days, we rewrite this equation as n = T/d, and substitute the given values to get n = -$36/-$3. Thus, n = 12. Therefore, the price of the stock declined over 12 days.

Question is in the picture

Answers

Answer:

i cant see the picture

Step-by-step explanation:

bought a new tent to take on the next Cub Scouts camping trip. The center pole of the to tent is 16 ft. tall and the sides of the tent are 20 ft. on the slant. How wide is the base of the tent?​

Answers

Answer:

24 ft

Step-by-step explanation:

The is a center pole and two side poles and the bottom. This triangle can be broken into 2 smaller triangles. When finding the base this requires the quadratic formula. a^2+b^2= C^2

We are given a and c. A is 16 and c is 20. The equation can be changed to c^2-a^2=b^2.

20^2-16^2=b^2

400-256=b^2

144=b^2

12=b

But remember there are two triangles so the base is 2b which is 24

What is the degree of x^5 - 4x + 2?
A. 3
B. 4
C. 6
D. 5

Answers

It’s 5. Because it’s the greatest exponent.
Hope this helps!

Answer:

D. 5

Step-by-step explanation:

x^5 - 4x + 2

The degree of the polynomial is the degree of the highest term

x^5:  5th

4x: 1st

2: 0

So the degree of the polynomial is degree 5

simplify the equation 11-1 [19- (2+15)]​

Answers

Answer: 8

Step-by-step explanation:

11-1 [19- (2+15)]​

Step 1: 11-1 (19-17)

Step 2: 11-1+2

Step 3: 11-3

Step 4: 8

Hope it helps!!!

Answer:

Step-by-step explanation:

9

Which of the following number sentences is an example of the identity property of addition?

16 × 0 = 0
8 + 0 = 8
1 × 4 = 4
1 + 11 = 11 + 1

Answers

The correct answer is B

I need help with B, C, and D​

Answers

B)

as you recall yesterday, the "far arc near arc" formula, well, notice, the angle at XDY intercepts the circle at XY, with a "near arc" of 100°, and a "far arc" of 360° - 100° = 260°.

so using the far arc near arc formula

[tex]\bf \measuredangle D=\cfrac{260-100}{2}\implies \measuredangle D=\cfrac{160}{2}\implies \measuredangle D = 80[/tex]

the twin angles at A and C will take the slack from all interior angles of 180° - 80° = 100°, so then ∡A = ∡C = 50°.

Find the savings balance after 9 months with an APR of 4% and monthly payment of $250.

Answers

Answer:

$ 2533.594

Step-by-step explanation:

The saving balance is found by the equation;

[tex]SV=P*[((1+i)^n -1)/i][/tex]

where P=monthly payments, i= interest rate n=period

Given ;

P= $250   n=9months and i=6%(0.04) per year, find savings balance?

Note than n is given in months so we divide the rate by 12 i.e

0.04/12 =0.003

Substitute values in the formulae;

SV= 250 × [((1+0.003)^9 - 1)/0.003)]

[tex]SV= 250* [((1+0.003)^9 -1 )/0.003]\\\\SV=250*[(1.003)^9 -1)/0.003]\\\\SV=250*[(1.0304 -1)/0.003]\\\\SV=250*[0.0304/0.003]\\\\SV=250*10.134\\\\SV=2533.594[/tex]

how can the correlation in the scatter plot graph below best be described?

positive correlation

negative correlation

both positive and negative

no correlation

Answers

Answer:

Option B is correct

Step-by-step explanation:

The graph represent  the negative correlation.

In negative correlation there is inverse relationship between two variables. If value of one variable is increasing then the value of other variable is decreasing.

As seen from the graph when the value of x is increasing the value of variable y is decreasing

So, Option B negative correlation is correct.

You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random, what is P(boys name)?

Answers

Hello there!

Your question is asking what the probability of picking up a boys name out of the paper bag.

Answer: [tex]\frac{19}{31}[/tex]

In order to solve this problem, we're going to have to find the total amount of names in the paper bag and the amount of boy names there are.

When you read the question, you would find some key information in it.

Key Information:

19 boys

12 girls

With the information above, we can find the probability of picking out a boy name out of the paper bag.

To find the porbability, we're going to need to get the total amount of names in the paper bag. We would just add 19 + 12.

[tex]19+12=31[/tex]

Now, we know that there are 31 total names in the bag.

But, we are trying to find the chances of pulling out a boys name. There are 19 boy names in the bag.

We would use the number 19 as our numerator and 31 as our denominator.

Your fraction should look like this:

[tex]\frac{19}{31}[/tex]

The fraction above would represent the probability to pick out a boy name.

Since 19 is a prime number, we wouldn't simplify the fraction.

Therefore, the chances of picking out a boy name from the paper bag is [tex]\frac{19}{31}[/tex]

[tex]\frac{19}{31}[/tex] should be your FINAL answer.

I hope this helps!Best regards, MasterInvestor

Which expressions are equivalent to K/2
Choose 2 answers:
A k-2
B 2/k
C 1/2k
D k/2
E k+k

Answers

Answer:

C and D

Step-by-step explanation:

D is the exact same.

For C this is already proven but you can test this by choosing any number for K (4) and multiply it by 1/2. You get 2 which is the same as 4/2.

The expression which is equivalent to the expression, K/2 is; Choice D: k/2.

According to the question;

We are required to determine the expression which is equivalent to k/2.

Among the choices; Choice D: k/2 is the exact same as the expression K/2.

However, Choice C if written as (1/2)k is equivalent to k/2 as they both mean half of k.

Read more:

https://brainly.com/question/14343845

6+18p-5=8p+13-2 slove for p

Answers

Answer:

p = 1

Step-by-step explanation:

6+18p-5=8p+13-2           Collect the like terms on the left and right side

6 - 5 + 18p = 8p + 13 - 2

1 + 18p = 8p + 11                Subtract 1 from both sides.

18p = 8p + 11 - 1                 Combine

18p = 8p +  10                    Subtract 8p from both sides

18p - 8p = 10                      Combine the left

10p = 10                             Divide by 10

10p/10 = 10/10

p = 1

Eric wants to sell his car that he paid $7,000 for 3 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, which expression shows how much Eric can sell his car for today?

A.7,000 − 3x
B.7,000 + 3x
C.7,000 − 36x
D.7,000 + 36x

Answers

Answer:

Option C. 7,000 − 36x

Step-by-step explanation:

Let

y ----> depreciated value of the car

x---> rate of depreciation

t ----> the time in months

we know that

The linear equation that represent this situation is

y=7,000-xt

For

t=3 years

Convert to months

t=3*12=36 months

substitute

y=7,000-x(36)

y=7,000-36x

In a city the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

Answers

Answer:

The distance between the police station and the fire station is 4 miles

Step-by-step explanation:

* Lets study the situation in the problem to solve it

- In the city there are three places, library , police station and fire station

- The distance between the library and the police station is 3 miles

  less than twice the distance between the police station and the

  fire station

- The distance between the library and the police station is 5 miles

* Lets change all of these situation to equations

# Let the distance between the library and the police station is x

# Let the distance between the police station and the fire station is y

∵ The distance between the library and the police station (x) is 3 miles

  less than twice the distance between the police station and the

  fire station (y)

∴ x = 2y - 3

∵ The distance between the library and the police station is (x) 5 miles

∴ x = 5

- Substitute the value of x in the equation above

∵ x = 2y - 3

∵ x = 5

∴ 5 = 2y - 3 ⇒ add 3 to both sides

∴ 8 = 2y ⇒ divide both sides by 2

∴ 4 = y

∵ y is the distance between the police station and the fire station

∴ The police station is 4 miles apart from the fire station

* The distance between the police station and the fire station is 4 miles

Which graph shows the solution to the inequality -3x-7 <20?

Answers

Answer:

Graphs..?

Step-by-step explanation:

For this case we must indicate the graph of the following inequality:

[tex]-3x-7 <20[/tex]

We add 7 to both sides of the inequality:

[tex]-3x <20 + 7\\-3x <27[/tex]

We divide between -3 to both of the inequality taking into account that the meaning changes:

[tex]x> \frac {27} {- 3}\\x> -9[/tex]

Answer:

[tex]x> -9[/tex]

See attached image

Geometry teacher Plz help me

Answers

Check the picture below.

The measure of an angle formed by intersecting secants is half the sum of the measures of the intercepted arcs is:    [tex]\[m\angle L = \frac{1}{2}(mAB + mCD)\][/tex]

The correct option is (B).

The problem step by step:

1. Given Information:

  - We have a circle with intersecting secants labeled as A, B, C, and D.

  - We need to find the correct equation that describes the relationship between the measures of angles and arcs formed by these intersecting secants.

2. Understanding the Problem:

  - When two secants intersect inside a circle, they create several angles and arcs.

  - Let's focus on angle[tex]\(m\angle L\)[/tex] and the corresponding arcs AB and CD.

3. Relationship Between Angle and Arc:

  - The measure of an angle formed by intersecting secants is half the sum of the measures of the intercepted arcs.

  - In other words:

[tex]\[m\angle L = \frac{1}{2}(mAB + mCD)\][/tex]

4. Answer:

  - The correct equation is:

   [tex]\[m\angle L = \frac{1}{2}(mAB + mCD)\][/tex]

how can e=1/2mv^2 when 1/2 moved to the side of e become 2e? This is because you are trying to find the formula when solved for v.

Answers

e = 1/2 mv ^2

Times 2 for both sides.

2e = mv^2

And this is because you are trying to find the formula when solved for v.

And I can help you find that formula which is:

mv^2 = 2e

v^2 = 2e/m

v = √(2e/m)

use the squared identities to simplify 2 cos^2 x cos^2 x

Answers

Answer:

Option A

Step-by-step explanation:

Name
12. Rhea used a Venn diagram to sort shapes. What label
could she use for circle A?
Polygons with all
Sides of Equal Length

Answers

Answer:

poloygons with right angles

Step-by-step explanation:

The Venn diagram A have polygons having right angle.

What is Venn Diagram?

A Venn diagram is a diagram that employs circles to depict the relationships between items or finite groupings of things. Circles that overlap share characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for visualising the similarities and differences between two concepts.

We have Venn diagram having geometrical shapes

In Venn diagram A the geometrical shapes are

Right angled TriangleRectanglePentagon

Thus, the Venn diagram A have polygons having right angle.

Learn more about Venn diagram here:

https://brainly.com/question/29301560

#SPJ3

the volume of a cylinder is the base (B) times the length of its height (h).
which of the following is the formula for the volume of a cylinder?

A. V = 1/2Bh
B. V = Bh
C. V = -Bh
D. V = 2Bw

Answers

Answer:

[tex]\text{The formula of a volume of a cylinder:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\large\huge\boxed{\bold{B.\ V=Bh}}[/tex]

Answer: [tex]V=B h[/tex]

Step-by-step explanation:

A cylinder is a solid shape having two circular faces connected by a curved surface.

The volume of a cylinder is given by :-

[tex]V=\pi r^2 h[/tex], where r is radius of the base of the cylider and h is height of the cylinder.

Here , the base area of the cylinder is:

[tex]B=\pi r^2[/tex]

Thus,  the formula for the volume of a cylinder is given by :-

[tex]V=B h[/tex]

Other Questions
The measure of arc QR is _____ When they laughed at my feet, they did not realize that I had put on two different shoes because Id had to dress in the dark that morning. They did not realize that I had dressed in the dark so I wouldnt wake my father, who works nights to put food on our table. They did not realize that I had dressed in the dark to not disturb my mother, who had been up all night with the newborn twins. They just laughed. How does the passage develop the conflict? It introduces the narrator as a student who is laughed at by others because of her clothing and her father's employment. It explains how the narrator resolves the conflict by telling the kids why her shoes do not match. It explains the details of the conflict by telling how the kids treat her and explaining why her shoes don't match. To find 45% of 72, multiply 45/10072. Study the model: 45/10072=3,240/100=32.4. Find 35% of 12. What was one way World War I affected the political situation in Europe?A. Western Europe experienced a series of genocides.B. Communism took hold in most of Eastern Europe.C. Two European empires were dismantled.D. American influence in Europe diminished. What is the domain of y=sqrt x+5? 8. The characteristic of stress responses that refers to the rate at which the behavior occurs is A. duration. B. intensity. C. frequency. D. stress. What results from an unequal sharing of electrons between atoms? Based on this lesson, what tool has increased the ability for doctors to consult and collaborate on a global scale?A) medical schoolsB) the InternetC) phone serviceD) space exploration Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. A decision in which a manager needs to determine whether a product line (or segment) should continue or be eliminated is what kind of decision?a. make-or-buyb. relevantc. special-orderd. sell-or-process-furthere. keep-or-drop Name all the countries in Central America (and capital) Need help in US history How can one distinguish breccia from conglomerate? a. Breccia contains angular clasts and conglomerate contains rounded clasts. b. Breccia contains rounded clasts and conglomerate contains angular clasts. c. Different minerals cement breccia than cement conglomerate. d. Breccia contains sand and conglomerate contains silt. Which of the following is a complex number? The velocity of a car traveling in a straight line increases from 0 meters/second to 30 meters/second in 8 seconds. What is the average acceleration of the car? A. 3.75 meters/second B. 3.75 meters/second2 C. 0.27 meters/second2 D. 0.27 meters/second A parachutists speed during a free fall reaches 180 miles per hour. What is this speed in feet peer second? At what speed, how many feet will the parachutist fall during 20 seconds of free fall? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answer Which best describes the results of a case study?It produces more reliable results than other methods because of its depthIts results are not generally applicableIt relies solely on secondary data analysisAll of the above I need help please hurry Which When measuring the volume of a liquid in a graduating cylinder, you measure_____.at the top of the meniscusthe average between the volume at the top of and the bottom of the meniscusfrom the bottom of the meniscusfrom the exact top of the liquid Mexican poet, essayist, and critic ________ was one of Latin Americas great modern writers.