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

Which ordered pair is in the solution set of y≥13x+4 ?

(-6,1)




(-1,6)


(6,-1)

Answers

Answer:

first one

Step-by-step explanation:

I think it would be the 3rd one

Equivalent fractions of 23,479 to 782

Answers

Answer:

93912/391

Step-by-step explanation:

i think its 93912/391

can i have brainiest plssss

HELPPPPPPPP T^T I NEED AN ANSWER!!!! IS THE QUESATIN A OR C

Answers

Answer:

Commutative

Please, mark as brainliest

660 divided by 15 is the same as?

Answers

Answer:

44

Step-by-step explanation:

Just divide 660 by 15 to get 44.

A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6+15b+4=25.6 Select all equations that are also equivalent to 0.6+15b+4=25.6

Answers

Step-by-step explanation:

Given that,

When a cardboard box is empty, its weight is 0.6 pounds.

It is filled with 15 bags of beans and a 4-pound bag of rice.

The total weight of the box and the contents inside it is 25.6 pounds.

Let the weight of 15 bean bags is 15b. The given scenario can be represented by the equation as follows :

0.6+15b+4=25.6 ....(A)

Taking like terms together,

15b=25.6-0.6-4 ...(1)

15b = 21  ....(2)

Equation (1) or (2) can be the equivalent equation for the equation (A).

Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45

Answers

Answer:

25 is a factor of 900

Step-by-step explanation:

900/25= 36

Answer: 25 and 45
Factor is the number, which is dividing by the number without remainder.
For example for 6, factors are 1,2,3,6
In this case, we have to find the number, that you can divide by, and don’t get a remainder.
900:25= 36
900:27= 33,333..
900:31= 29,03..
900:32= 28,125
900:44= 20,4545..
900:45=20
from this we can see that 25 and 45 are the factors of 900 in this exercise. You also could understand that, because 25 and 45 are ending with 5.
Hope it helps! Please give the brainliest:):)

If you have a negative value for m what quadrants will the line be in?

Answers

Answer:

If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.

Step-by-step explanation:

If you know this pls give me the answer, thank u!

Answers

Answer:

it's SSS

Step-by-step explanation:

two parallel lines and one diagonal

Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

what is the cube root of 64​

Answers

Answer:

the cube root of 64 is 3√64=4.

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

which is the area of a circle with a diameter of 7 units? (use 3.14 for pi)​

Answers

Answer:

The area of circle = πR ^2

And diameter = 7 units

By interchanging d in R =d/2 = R =7/2 = 3.5

Step-by-step explanation:

πR ^2 =3.14 x (3.5)^2 =3.14 x 3.5 x 3.5 =38.465 (unit)^2 Answer

Hope it's help ^_^

Branliest! Please I'm beggin you! Help me!!!


The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?

Answers

Answer:

How does she make 14 pound servings with 5 pounds ?

Answer:

4/5

Step-by-step explanation:

cus i said so

If 3x+2=6 what is the value of x

Answers

Answer:

x=1.33

Step-by-step explanation:

3x+2=6

3x=4

x=[tex]\frac{4}{3}[/tex]

x=1.33

to check your answer

3 x 1.33 + 2=6

3.99+2=6

5.99=6

6=6

What is the area of ΔXYZ below?

Select the best answer from the choices provided. A. 9√3 4 B. 9√3 3 C. 9√3 2 D. 9√3

Answers

Step-by-step explanation:

We need to find the height of the triangle first.

Height=>sin(60°)=h/3 but sin(60°)=√3/2

h=3×√3/2=3√3/2

Area=½×base×height

A=½×3×3√3/2

A=9√3/4

Answer is option A

Write the linear equation in slope-intercept form.

-6x + y = 19

Answers

Your answer would be y= 6x + 19


You get rid of the variable on the left side by adding it to both sides giving you y = 6x + 19
Hope it helps

Which transformations will change Figure A into Figure B?
rotate 180° about the origin, dilate by a scale
factor of
rotate 180° about the origin, dilate bya scale
factor of
A
reflect over the line y = , dilate bya scale
factor of
reflect over the line y = T, dilate by a scale
factor of

Answers

Answer:

the second answer should be correct

Step-by-step explanation:

:)

Answer:

second option

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

A Plus Plumbing

Step-by-step explanation:

60(2)+80 = 120+80 = 200 < 250

Answer:

A- plus plumbing

Step-by-step explanation:

hope this helps

coordinates of the midpoints of (-9,5) and (21,-7)

Answers

Answer:

wait what are we measuring I would need to see the graph to know

Answer:

(6,-1)

Step-by-step explanation:

5-(-7) = 12/2 = 6 so 6 units from 5 is -1 and 21-(-9) is 30/2=15 so 15 from 21 is 6

4x^4+8x^2+1-3x Rewrite each polynomial in standard form then identify the leading coefficient degree and number of terms, name the polynomial

Answers

4x^4+8^2+1-3x Rewrite each

Given the polynomial 5x3−2x2+12, what is the leading coefficient?
******( I"LL GIVE YOU BRAINIEST)!!!******
A. -2


B. 3


C. 5


D. 12

Answers

Answer:

a.2

Step-by-step explanation:

Find the circumference of the given circle use 3.14 pie and 7 in diameter

Answers

Answer:

43.98

Step-by-step explanation:

2piR

BTW the 7 is the radius not the diameter

default dance on em lol

Answers

Answer:

600/(12*60)=0.83 per minute

PLEASE ASAP QUICK THX​

Answers

Step-by-step explanation:

[tex] \bf \huge \red{Answer:-}[/tex]

The animal shelter had a special on adoption rates for their dogs and cats. Each dog adoption fee was $75 and each cat adoption fee was $35. On Christmas Eve, the animal adopted out 8 total animals and brought in $400 in total adoption fees. How many dogs and how many cats were adopted out on Christmas Eve?

dogs:

cats:

Answers

Answer:

3 dogs and 5 cats were adopted out on Christmas eve.

Step-by-step explanation:

Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.

From the question,

On Christmas Eve, the animal adopted out 8 total animals

That is, x + y = 8 ...... (1)

and brought in $400 in total adoption fees.

Also from the question,

Each dog adoption fee was $75 and each cat adoption fee was $35.

∴ On Christmas Eve,

75x + 35y = 400 ...... (2)

Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.

From equation (1)

x + y = 8

Make x the subject of the relation.

∴ x = 8 - y ...... (3)

Substitute the value of x into equation (2)

75(8 - y) + 35y = 400

600 - 75y + 35y = 400

600 -40y = 400

600 - 400 = 40y

200 = 40y

∴ 40y = 200

y = 200/40

y = 5

Substitute the value of y into equation (3)

x = 8 - y

x = 8 - 5

x = 3

∴ x = 3 and y = 5

Hence, 3 dogs and 5 cats were adopted out on Christmas eve.

PLS HELP 50 POINTS IF YOU DONT KNOW DONT ANSWER THE QUESTION

Answers

Answer:

It is C or t < 6

Step-by-step explanation:

The line starts at 6 and goes left. The way I remember which way it goes is the greater than or less than sign looks like the tip to the arrow

< ----   and  ---- >

It is an open circle so it will not be a greater than or equal to sign

What is the best description of slope (m) in a word problem?



The total at a certain time


The starting point


The rate of change


The amount of time

Answers

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

The slope is the rate of change. It is how something increases or decreases over an amount of time.

Hope this helps✨❤️

what is the slope of the graph​

Answers

60 to 0 is a slope of the graph

Answer:

Y=60,X=2,5

Step-by-step explanation:

what is the probability of drawing a 9 or diamond from a standard deck of cards?

Answers

Explanation:

In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.

In all we get:

13+4 - 1/52 =

≈  16/52

=4/13

Answer: 0.3077

Probabilities are used to determine how likely an event is, to happen. The probability of drawing a 9 or diamond is: 4/13

In a standard deck of cards, we have:

[tex]n = 52[/tex] --- There are 52 cards in total

[tex]n(9) = 4[/tex] ---- Cards with number 9 are 4

[tex]n(Diamond) =13[/tex] ---- there are 13 diamonds

[tex]n(9\ n\ Diamond) = 1[/tex] ---- Diamond cards with number 9

The probability of drawing a 9 or diamond is:

[tex]P(9\ or\ Diamond) = P(9) + P(Diamond) - P(9\ n\ Diamond)[/tex]

So, we have:

[tex]P(9\ or\ Diamond) = \frac{n(9)}{n} + \frac{P(Diamond)}{n} - \frac{n(9\ n\ Diamond)}{n}[/tex]

This gives:

[tex]P(9\ or\ Diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]

Take LCM

[tex]P(9\ or\ Diamond) = \frac{4+13-1}{52}[/tex]

[tex]P(9\ or\ Diamond) = \frac{16}{52}[/tex]

Simplify

[tex]P(9\ or\ Diamond) = \frac{4}{13}[/tex]

Hence, the probability of drawing a 9 or diamond is: 4/13

Read more about probabilities at:

https://brainly.com/question/24297863

A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal

Answers

$40,068 exact no decimal points

Answer:

$40,068 no decimals enclode in it

cuanto es 100 chorizos más un choriszo​

Answers

Answer:

No se

Step-by-step explanation:

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