What is the surface area of the cylinder with height 2 m and radius 7 m? Round your answer to the nearest thousandth.

Answers

Answer 1

Answer:

395.841

Step-by-step explanation:

2 \pi r^2 = 2 \pi(7\text{ m})^2\approx

2πr

2

=2π(7 m)

2

\,\,307.87608\text{ m}^2

307.87608 m

2

Top and bottom circles

\underline{+\ bh = (2 \pi \ 7\text{ m})(2\text{ m})}\approx

+ bh=(2π 7 m)(2 m)

\,\,\underline{87.964594\text{ m}^2}

87.964594 m

2

The side is a rectangle with base = circumference

\text{Add them up:}\phantom{=}

Add them up:=

\,\,395.840674\text{ m}^2

395.840674 m

2

Final answer

\approx

\,\,395.841\text{ m}^2

395.841 m

2

Round

Answer 2

The surface area of the cylinder is 396 m²

What is a cylinder?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

Given that, A cylinder with height 2 m and radius 7 m, we are asked to find its surface area.

The surface area of a cylinder is given by = 2πr(h+r)

= 2×3.14×7(7+2)

= 396

Hence, the required surface area is, 396 m²

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Related Questions

I WILL MARK BRAINLIEST FOR RIGHT ANSWERS :)

Answers

Answer:

0.17 or 17 percent

Step-by-step explanation:

You go the graph where it says urban (the question states among the urabn population and add all of the numbers together to get 126, and you go to the two year degree column (it is looking for the two year degrees from this column) and you divide that number (21) by your sum earlier to get 0.16666667 and round it up to 0.17 which is 27 percent if you want a percentage as an answer.

Ron wants to buy a video game with a selling price of $48. It is on sale for 50% off. The sales tax in his state is 4.5%.

How much is the discount?​

Answers

Answer:

50 1/6% (50 and one sixth) or $22.92

Step-by-step explanation:

Answer:

$25.92

Step-by-step explanation:

48÷2=24 (price after 50% off)

24×4.5=108

108÷100=1.08(% of tax per dollar)

1.08×24=25.92 (final price)

How can you use a table to find the solutions
of x2 – 7x + 6 = 0?

Answers

Answer:    should be

X=6,1

A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half. What is the area of the rhombus? 12 square units 18 square units 24 square units 48 square units

Answers

Answer:

its 24

Step-by-step explanation:

i got it right on ed 2020

Answer:

The correct answer is C.) 24 square units

Step-by-step explanation:

(base x height)/2 → (6 x 4)/2 = 12

12 x 2 = 24

A tile installer plots an irregular shape on grid paper. Each square on the grid represents 1 square centimeter. What is the area of the irregular shape

Answers

Answer:

39cm to the 2nd aka 39cm^2

Step-by-step explanation:

The area of the irregular shape is 38 cm^3.

What is the area of the triangle?

The area of the triangle is half times of base and height.

[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height[/tex]

A tile installer plots an irregular shape on grid paper.

Each square on the grid represents 1 square centimeter.

The area of the triangle is;

[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height\\\\Area \ of \triangle=\dfrac{1}{2} \times4 \times 4\\\\Area \ of \triangle=8[/tex]

The area of the rectangle is;

[tex]\rm Area \ of \ recatngle =length \times width\\\\ Area \ of \ recatngle =3 \times 5\\\\ Area \ of \ recatngle =15[/tex]

The area of the parallelogram is;

[tex]\rm Area \ of \ a \ parallelogram = base \times height\\\\ Area \ of \ a \ parallelogram =5\times 3\\\\ Area \ of \ a \ parallelogram =15[/tex]

The area of the irregular shape is;

= 8 + 15 + 15=38

Hence, the area of the irregular shape is  38 cm^3.

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Someone Please helpppp!!!

Answers

Answer:

2138.2 cubic meters

Step-by-step explanation:

The Volume of Sphere is given by

V = (4/3) π r³

then

V = (4/3) π r³

V= (4/3) x 3.14 x (8)³

V = 1.33 x 3.14 x 512

V = 2138.2 m³

Answer:

Step-by-step explanation:

r = 8 m

Volume V = (4/3)πr³

[tex]=\frac{4}{3}*3.14*8*8*8\\\\=\frac{6430.72}{3}\\\\=2143.57333....\\\\=2143.57cubicmeters[/tex]

can someone solve this for me?

Answers

Answer:

d 125

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement to the 55 degree angle

55+ x =180

Subtract 55 from each side

55+x-55 =180-55

x = 125

What does 4/9 - 2/9 equal?​

Answers

Answer:

2/9

Step-by-step explanation:

If you are subtracting fractions with the same denominators (in this case 9 is the denominator for both), then you just have to subtract the numerator.

4/9 - 2/9

When you just subtract numerators, this is all you need to do:

4 - 2

= 2

2/9 is the answer.

Answer:

2/9

Step-by-step explanation:

Find the value of x.


m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

Answers

Final answer:

The value of x is 1.

Explanation:

To find the value of x in the given question, we need to set up an equation involving the angles.

From the information given, we have:

m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

We can set up an equation based on the relationship between the angles:

m∠IHG + m∠IHK + m∠KHG = 180°

Substituting the given angle measures, we have:

162° + (4x + 4)° + (8x + 2)° = 180°

Combine like terms:

12x + 168 = 180

Subtract 168 from both sides:

12x = 12

Divide both sides by 12:

x = 1

Therefore, the value of x is 1.

mary had 3/4 of a container of orange juice left in the refrigerator.her brother came and drink 4/5 of it. how much orange juice did her brother drink

Answers

Answer:

12/25 of the entire container.

Step-by-step explanation:

To solve this, multiply 3/4 by 4/5. 3/4 * 4/5 = 12/25. Therefore, her brother drank 12/25 of the whole container.

Kaylee is working two summer jobs, making $6 per hour walking dogs and $13 per hours landscaping. Last week Kaylee worked a total of 8 hours and earned a total of. $83.
Determine the number of hours Kaylee worked walking dogs last week and the number of hours she worked landscaping last week

Answers

6:13 =83

6+13=19

1 part=83÷19

=4.37

6×4.4=26.4

13×4.4=57.2

26.4:57.2

p.s I got how much money only...

sorry

TRY CALCULATING A WEIGHT
When carrying a large backpack and four liters of water, Yogi weighs 225.6
pounds. If the backpack weighs 55.4 pounds and the water weighs 8.8 pounds,
what is Yogi's weight without the backpack and the water?
Choose 1 answer

82.2 pounds
161.4 pounds
211.3 pounds
272.2 pounds
289.8 pounds
HELPS ME PLEASE!

Answers

The answer is 161.4 pounds

What is the value of x in the figure? Enter your answer in the box. X=

Answers

Answer:

x = 34

Step-by-step explanation:

The two angles sum to a right angle, which is 90 degrees.  We can tell this from the box in the corner

x+56 = 90

Subtract 56 from each side

x+56-56= 90-56

X = 34

Answer:

x=34

Step-by-step explanation:

The angles are complementary, or they add to 90 degrees. We know this because of the little rectangle in the corner.

x+56=90

Subtract 56 from both sides

x+56-56=90-56

x=34

Can someone help me?

Answers

Answer:

Segment DE is parallel to segment BC.

Step-by-step explanation:

Use the side splitter theorem.

Answer: Segment DE is parallel to segment BC.

How could you represent the line(s) of symmetry, if any exist, on the given trapezoid?

A) Draw the perpendicular bisector of the congruent sides
B) Draw the perpendicular bisector of b.
C) Draw the diagonals of the trapezoid.
D) No line of symmetry exists.

Answers

Answer:

b

Step-by-step explanation:

i had this on usa test prep

is 87% likely or certain

Answers

Answer:

likely; think of it like you picking 87 red marbles out of a box of 100 different colored marbles. probability of 87/100 you picking a red marble

Likely, you can never really be certain u less it 100/100

A store is having a sale on books. If you buy the first book for $12, each additional book will cost $6. Which formula models this situation?

Answers

Answer:

an = 12 + (n – 1) × 6

Step-by-step explanation:

The first book is 12 dollars so that is covered.

Secondly it says n-1 to exclude the first book.

Finally it is multiplied by 6 or the price of each additional book.

Hope This Helped :)

The required formula that models the situation is y = 12 + 6x.

As given in the question, a store is having a sale on books. If you buy the first book for $12, each additional book will cost $6.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let x be the number of additional books,
And y be the total cost of the book purchased,
The first book cost $12 after that for x additional\ book cost is given as,
y = 12 + 6x

Since x = 0, 1, 2, 3, and so on.

Thus, the required formula that models the situation is y = 12 + 6x.

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In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP

Answers

Answer: Length OP = 82.38 feet

Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.

We can find the length of OP by using trigonometry ratio since it is a right angle

NO = hypothenus and

OP = opposite

Sin 83 = OP/NO

Sin83 = OP/83

OP = 83sin83

OP = 82.38 feet

What is the value of x in the equation below? 150 = 3/5 x

Answers

Answer:

x=250

Step-by-step explanation:

150= 3/5 x

50 = 1/5 x

x=50×5

x=250

Final answer:

To solve the equation 150 = 3/5 x for x, divide both sides by 3/5, which is equivalent to multiplying by its reciprocal (5/3), resulting in x being equal to 250.

Explanation:

To find the value of x in the equation 150 = 3/5 x, you first divide both sides of the equation by 3/5 to isolate x. This can be done by flipping the fraction and multiplying, as the division by a fraction is the same as multiplication by its reciprocal.

The process is as follows:

150 = (3/5) x

150 * (5/3) = x

50 * 5 = x

250 = x

Therefore, the value of x is 250.

20 POINTS / WILL GIVE BRAINLIEST
What is the volume of the composite figure? Leave the answer in terms of π.
______π mm3
please dont answer if you don't know it just to get the points!!

Answers

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

= f(x)=-2X+13 for f(10)

Answers

Answer

F=1+1/2

Step-by-step explanation:

(10)=-2F+13

We move all terms to the left:

(10)-(-2F+13)=0

We get rid of parentheses

2F-13+10=0

We add all the numbers together, and all the variables

2F-3=0

We move all terms containing F to the left, all other terms to the right

2F=3

F=3/2

Answer:

-6

Step-by-step explanation:

f(x)=-2x+13

f(10)=-2(10)+14

f(10)=-20+14

f(10)=-6

Use the data on the dot plot to answer the question.
How Many Hours Do You Sleep at Night?
How many people slept for less than seven hours?

Answers

Answer:5

Step-by-step explanation:because,yes!

Answer:

5

Step-by-step explanation:

i did the quiz

Which are the center and radius of the circle with equation (x + 5)2 + (y − 4)2 = 9?

Answers

Answer:

The center of the circle is at: C=(−5,4).

The radius of the circle is r=3.

Step-by-step explanation:

The equation of the circle is (x + 5)² + (y − 4)² = 3². Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as (x + 5)² + (y − 4)² = 9.

The equation can be written as

(x + 5)² + (y − 4)² = 3²

Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Donation Amounts (in dollars) A charity receives donations ranging from 5 to 35 dollars. The donation amounts from 10 different people were used to create the box plot shown above. Which of the sets of donation amounts below matches the given box plot? A. Donation Amounts: 5, 10, 15, 15, 15, 25, 25, 25, 30, 35 B. Donation Amounts: 5, 10, 15, 15, 15, 15, 25, 25, 35, 35 C. Donation Amounts: 5, 10, 15, 15, 15, 25, 25, 30, 35, 35 D. Donation Amounts: 5, 10, 10, 15, 15, 25, 25, 25, 35, 35

Answers

Final answer:

Without an actual box plot to reference, it's impossible to accurately determine which set of donation amounts correctly corresponds to the box plot in question.

Explanation:

The question seeks to identify the set of donation amounts that matches a given box plot. When analyzing sets of donation amounts to determine which one aligns with a box plot, we look for key features such as the minimum, the maximum, the median, and the quartiles. These features divide the data set into four parts of equal importance, helping us understand the distribution of the data.

Given that there isn't an actual box plot provided, we would typically compare the given options against the features one would expect to find in a box plot:

Minimum and maximum values to set the range.Quartiles that split the data into four equal parts.Median as the middle value when the data is sorted.

However, without the specific details of the box plot, such as the exact median or quartile values, we cannot accurately determine which set of donations matches the box plot. Typically, an analysis would involve calculating or identifying these characteristic numbers from each option and then seeing which one fits the description given by the box plot.

Consider the quadratic function f(x)=83€ - 1x46,
What is the constant of the Function?

Answers

Answer:

83€  is the constant.

A circle with radius 6 has a sector with a central area of 11/6 pi radians. what is the area of the sector?

Answers

Answer:

The area of the sector = 103.62 square unit

Step-by-step explanation:

Please kindly check the attached files for explanation

A person invest $1800 in a account that earns 2.46% annual interest. Find when the value of the investment teachers $3500

Answers

Answer:

28 years

Step-by-step explanation:

To find the number of years that the investment will reach $3500, we can use the formula of compound interest:

P = Po * (1+r)^t

where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.

In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:

3500 = 1800 * (1+0.0246)^t

1.0246^t = 3500/1800

1.0246^t = 1.9444

Using logarithm in both sides:

log(1.0246^t) = log(1.9444)

t*log(1.0246) = 0.2888

t * 0.0106 = 0.2888

t = 0.2888 / 0.0106 = 27.2453 years

So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)

The base of a rectangular prism is a square. The height of a prism is half the length of one edge of the base. The volume of rectangular prism is 13.5 cubic units. What are the dimensions of a prism?

Answers

Answer:

3 × 3 × 1.5

Step-by-step explanation:

Volume = base area × height

13.5 = s² × ½s

½s³ = 13.5

s³ = 27

s = 3

½s = 1.5

Dimensions:

3 × 3 × 1.5

Approximate the sum of the first 17 terms to the

nearest tenth. Sum =

Answers

Answer:-204.8

Step-by-step explanation:

Answer:

-204.8

Step-by-step explanation:

In how many ways is it possible for 15 students to arrange themselves among 15 seats in the front row of an auditorium?

Answers

Answer:

225

Step-by-step explanation:

bc 15 times 15 is 225 and thats how you find out how many combos ya square it

Final answer:

The number of ways 15 students can arrange themselves in 15 seats is calculated using permutations and is equal to 15 factorial (15!).

Explanation:

The question involves finding the number of different ways to arrange 15 students in 15 seats, which is a combinatorial problem in mathematics. This problem can be solved by using the concept of permutations. Indeed, if we have 15 distinct objects (students) and we want to arrange them in 15 distinct positions (seats), we need to calculate the number of permutations of 15 items taken 15 at a time.

The formula for the number of permutations of n objects taken r at a time is P(n, r) = n! / (n-r)!, where ! denotes the factorial of a number. For this case, since we are permuting all 15 students (n = 15), the number of ways they can arrange themselves in 15 seats is simply 15! (15 factorial).

To calculate 15 factorial, we multiply all integers from 1 to 15:15! = 15  imes 14  imes 13  imes ...  imes 1Therefore, there are 15! different ways for the students to arrange themselves in the front row of an auditorium.

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(lower numbers have higher priority) A) The height of the structure is approximately 20. B) The width of the lowest level of the structure is approximately 500,000. C) Nearly half of the 1000 largest values must be in the bottom level of the structure. D) Nearly half of the 1000 smallest values must be in the top half of the tree (if there are k levels in the tree, the "top half" is the top k/2 levels). E) Nearly half of the 1000 smallest values may be in the bottom level of the structure. Accounting profit differs from economic profit because:A. of differences in the manner in which revenue is calculated.B. economic costs include explicit costs, while accounting costs do not.C. accounting costs are generally higher than economic costs because accounting costs include explicit and implicit costs, while economic costs include only explicit costs.D. economic costs are generally higher than accounting costs because economic costs include all opportunity costs, while accounting costs include explicit costs only. Help me pls.......... Find the quotient of 4/7 and 3/5Give your answer as a fraction in its simplest form. pls answers this 2 sheets for spansish hw You are offered the following gamble based on coin flips. If the first heads occurs on the first flip, you get $2. If the first heads occurs on the second flip, you get $4, and so on, so that if the first heads is on the Nth flip, you get $2N. The game continues until there is a heads. Which of the following best represents the expected value of this gamble in dollars? e 0 [infinity] When offered, most people say they would pay only less than $10 to play this game. "The CEO of a large electric utility claims that 80% of all his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 73% say they are very satisfied. Were these surveyed customers less likely to be satisfied than all the CEOs customers ( \alpha =0.05)?" Conjugate the the verb in parentheses in the affirmative t command form.Mi mam siempre me dice, "(Hacer) la tarea, Luca."Question options:HacerHaceHazHizo Can you please help me with this ima give you brainlylist Identify the first-person pronoun in each sentence, and indicate whether it is the subject or the object.Jenny gave me the doll.We sat around the fireplace.They can come with us tomorrow.We played with our new puppy all day.Send me a copy of your book in the mailI will get a ride to the game from my dad.He never said goodbye to us before leaving.(Just please answer it I'm giving 15 points so please i'm just too lazy to do it) Suppose in 1992, the average price level in Pacifica was 100, and that in Atlantica it was also 100. In the foreign exchange market 1 Pacifica pound was exchanged for 1 Atlantica mark. In 2012, the price level in Pacifica had risen to 280 and the price level in Atlantica had risen to 360. 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For the last nine weeks, he has worked the following number of hours.1, 3, 1, 1, 4, 5, 8, 6, 5Which measure of central tendency would be the most effective for Aidan to use if he wants to demonstrate to his supervisor that he hasn't worked very many hours recently?Answersmeanmedianmode