The circumference of the base of a right circular cylinder is 252 cm. Find the lateral surface area if the height is 3 m.​

Answers

Answer 1

Answer:

The lateral surface area is  [tex]80,638.4 \ cm^2[/tex]

Step-by-step explanation:

Lateral Surface Area of a Cylinder

It can be computed with the formula:

[tex]\displaystyle A=\pi r^2+2\pi rh[/tex]

Where:

r = radius of the circular base

h = height

The circumference of the base can be calculated as:

[tex]C = 2\pi r[/tex]

We are given the circumference C=252 cm, let's find the radius solving for r:

[tex]\displaystyle r=\frac{C}{2\pi}[/tex]

[tex]\displaystyle r=\frac{252\ cm}{2\pi}[/tex]

r = 40.1 cm

Now we calculate the lateral surface area knowing h=3 m=300 cm:

[tex]\displaystyle A=\pi 40.1^2+2\pi 40.1*300[/tex]

[tex]\boxed{A = 80,638.4 \ cm^2}[/tex]

The lateral surface area is [tex]80,638.4 \ cm^2[/tex]


Related Questions

can someone help me. Arithmetic Sequences
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you’re going to only eat 5 pieces per day.

What is the common difference?

Answers

Answer:

-5

Step-by-step explanation:

when you eat 5 pieces of candy per day then the sequence will be

125, 120, 115, 110, 105......

And Then, the common difference will be -5

The number of students that enrolled in a new school club as a function of time can be represented by the function as shown in the graph.

What is the average rate of change in the number of students that enrolled between hours 1 and 2?​

Answers

Answer:

I think it is 1 student per 15 min

Step-by-step explanation:

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)


Helpppp meeeeeeeeeee

Answers

The answer is A.

Explanation: You look at the x axis to see where the line is and look at that. The line goes from -4 to 3 on the x axis. On the y axis is the same but on the y axis. You see it goes from 0 to 5. This is least to greatest.

What fraction does Point A on the number line below represent?


A. 4/8
B. -4/8
C. 2/8
D. -2/8

Answers

Answer:

D

Step-by-step explanation:

There is 8 parts and its negative and its 2/8

Answer: The answer is D or 2/8

Step-by-step explanation:

PLEASE HELP FAST ITS TIMED! I Will Give Brainlist And Extra Points!

Answers

Answer:

-8, -5

Step-by-step explanation:

the answer to number one is -8. For functions, you just plug in the number in the parenthesis for x and then you solve. For number two, it is -5.

Answer:

-8, -5

Step-by-step explanation:

A line passes through the points (-8,-4) and has a slope of 5/4.​

Answers

The answer is y=5/4x+6

please help!!
(dont steal points pls)

Answers

Answer:

i think its 8.7  miles but i might be wrong please correct me if i am

Step-by-step explanation:

Well main street is 5.6 and there is a gab in between main street and highway 1 and its a big gab but not that big it is asking what the length and they are asking what the distance from highway 1 to main street is and that may not seem so far way but its asking from the begining of highway one. I THINK THAT IS CORRECT BUT I'M NOT VERY SURE  

It’s b .......................

I Need Hellp! With this!!

Answers

Answer:

1/14

Step-by-step explanation:

slope = difference of y over difference of x

= (-3-(-4)) /(8 -(-6)) = 1/14

y = -0.25x – 4
When x=0, y = -4
When y=0, x = -16

If x to the first power is a line, and you multiply two lines together, what do you get? Think of the the exponent.

Answers

Answer: A quadratic equation (also called a parabola)

Step-by-step explanation:

A line can be written as:

f(x) = a*x + c

This is a polynomial with degree 1.

Now, of we have two lines:

f(x) = a*x + c

and:

g(x) = d*x + e

And we multiply them, we will get:

f(x)*g(x) = (a*x + c)*(d*x + e) = a*d*x^2 + a*e*x + c*d*x + c*e

We can rewrite this as:

                                           = (a*d)*x^2 + (a*e + c*d)*x + (c*e)

This is a polynomial of degree = 2, this is a quadratic equation, then if you multiply two lines together, you get a quadratic equation (or a parabola)

Answer:

ax^2+ bx + c

Step-by-step explanation:

I get a parabola, that is, an equation of the second degree

H
SSS
SAS
ASA
AAS
HL
cannot determine

Answers

Answer:

last answer

Step-by-step explanation:

A red car is traveling at 10 m/s, south next to a blue car that is traveling in the
same direction at 8 m/s. How fast is the red car traveling relative to the blue car?

Answers

Answer:2.0 m/s,south

Step-by-step explanation:

I need help with an explanation

Answers

Answer:

18

Step-by-step explanation:

First add what you do know: -2 + 9 = 7

Next, to find the answer subtract that from 25 to find what is left over and that is you answer!

25-7=18

Hope that helped!! :)


What is the slope of the line?

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

The slope of the line is -2/1 or -2. Because instead of rising you are going down -2. If you divide -2 by 1 it would be -2, so your slope is -2.
Hope this helps :)

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes

Answers

Answer:

C

Step-by-step explanation:

10/4=2.5

2.5x38=95

95 minutes= 1 hour 35 minutes

help please i’ll give brainlest and lots of points

Answers

Answer:

1+1=2 so that's the answer

Is it scaling isosceles or equilateral and what is the answer

Answers

Answer:

[tex]scalene[/tex]

Step-by-step explanation:

[tex]\textsf{Sum of internal angles;}[/tex]

  [tex]71+50+6x-1=180[/tex]

 [tex]6x-1=180-71-50[/tex]

  [tex]6x-1=59[/tex]

the answer is scalene. please mark me brainliest^^^!

Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}









6x+5y=1
6x−5y=7


Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Subtract the bottom equation from the top equation.

(Choice B)
B
Add the equations.

(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.

Answers

9514 1404 393

Answer:

A  Subtract the bottom equation from the top equation.B  Add the equations.

Step-by-step explanation:

The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.

The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.

Both strategies (subtracting, adding) are applicable to this system of equations.

Help me help me help me

Answers

Answer:

Step-by-step explanation:

Answer: A

Step-by-step explanation:

We need to convert each city to percentage. Los Angeles is 13/50 and we can double that to convert it to a percentage of 26%. Next is Seattle which is 3/10 and we can multiply that by 10 to get a percentage of 30%. Next is San Francisco, which is at 2/5 and we multiply that by 20 to get a percentage of 40%. Next is Boston which is 43%. The final city is New York City which is 48%. The order of these cities in least to greatest in percentage of public transport use is Los Angeles, Seattle, San Francisco, Boston,  and New York City. Therefore the answer is A.

I NEED HELP ASAP PLSSSSSSS

Answers

Answer:

53 degrees

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

180-127=53

x
This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.


How many hours will I have been awake when my
computer has no charge left?

Use the sketch tool if it helps you with your thinking.




Submit and Explain


Answers

Answer: It's 4.5 hope it's right, bye

Answer:

Step-by-step explanation:

SOPHIE gave 45% of her pocket money to AMELIE. SOPHIE now has £6.60. How much did SOPHIE have to begin with?

Answers

Answer:

£12

Step-by-step explanation:

To find the original amount, divide 6.60 by 0.55:

6.60/0.55

= 12

So, Sophie had £12 to begin with

The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC?
_____________________

A.10
B.5
C.15
D.12

Answers

The answer is:

A. 10

This is because segment AB is parallel to segment DC, meaning they are the same length.

Hope this helps!

Please help asap!! I will mark you as brainliest :)

Answers

$0.50 per ounce is your answer

if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]

Answers

Answer:

hlo buddy

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box? 18 2/9 18 times 2/9 2/9 divided by 18 9/2 divided by 18

Answers

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x=5.7

Step-by-step explanation:

sin(35=x/10

Select three ratios that are equivalent to 7: 6.

Answers

Answer:

ratio number 1-  14:12

ratio number 2- 21:18

ratio number 3- 28:24

Which statement explains one way that ponds and lakes differ?

Ponds are shallower than lakes.

Ponds are larger than lakes.

Pond water moves more than lake water.

Lakes have more plants at the bottom than ponds.

Answers

Answer:

Ponds are shallower than lakes.

Step-by-step explanation:

The statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Ponds and Lakes

The major difference between ponds and lakes are ponds are :

Pond are depth or shallower and smaller than lakes while lakes are larger or bigger.

Lakes are more deeper compare to ponds which inturn means that  ponds are not deeper than lakes.

Inconclusion the statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Learn more about ponds and lakes here:https://brainly.com/question/131190

PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.

So basically it wants the y-value :)

Answer:

1.25

Step-by-step explanation:

the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line

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