Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for π.
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Question :-
A cylinder has a radius of 4.9 ft and a height of 7.8 ft. What is the surface area of the cylinder?Answer :-
The surface area of the cylinder is 390.8044 ft².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.9 \: ft}}\put(9,17.5){\sf{7.8 \: ft}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the cylinder is 4.9 ft. The height of the cylinder is 7.8 ft. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(4.9 \: ft)^2 + (2)(3.14)(4.9\: ft)(7.8\:ft) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(24.01\: ft^2) + (2)(3.14)(38.22\:ft^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(75.3914 \: ft^2) + (2)(120.0108 \: ft^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 150.7828 \: ft^2 + 240.0216 \: ft^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 390.8044 \: ft^2}[/tex]
Therefore :-
The surface area of the cylinder is 390.8044 ft².[tex]\\[/tex]
Learn more about the surface area of the cylinder at https://brainly.com/question/30914875
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Please answer 1-5 i give brainlesit
19. Write an essay: 3 to 4 sentences (about) I WILL brainliest ;)
When baking a cake, you have a choice of the following pans:
a round cake pan that is 2 inches deep and has a 7-inch diameter
a 6-inch × 9-inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.
Note: Don't answer if it won't be helpful pls, I will report. Thx to all the people who try to make Brainly what it is.
Answer:while baking a cake it is best to use a round pan if you are going to have the a 7-inch diameter
Step-by-step explanation:
{f(1)=15
f(n)=f(n-1)•n
Answer:
n+11
Step-by-step explanation:
Jim borrowed $850 to purchase a stereo system for his car. He has been making payments each week for the last four weeks. The chart below shows the history of his loan balance.
In the linear function that models these data, x represents the week and y represents the balance of the loan. What is the slope of the function?
a. -850
b. -75
c. 75
d. 850
Answer:-75 per week
Step-by-step explanation: if the loan gets -75 per week the slope is -75
Answer:75 per week
Step-by-step explanation:
help please! will give brainliest! no jokes or links pls
A waiter in a restaurant has eight booths in his station. How many different arrangements are possible for the hostess to seat customers at the waiter’s booths if order is important?
which function below BEST describes the height of the ball after the xth bounce?
A) f(x) = 10(2.5 x)
B) f(x) = 25(2.5 x)
C) f(x) = 10(0.4 x)
D) f(x) = 25(0.4 x)
I really don't know how to do this-
The sum of the interior angles of any quadrilateral is 360°.
So,
90° + 90° + 52° + x = 360°
=> 232° + x = 360°
=> x = 360° - 232°
=> x = 128°
Answer:
x = 128
Step-by-step explanation:
All angles on a trapezoid must add up to 360 degrees. So we have 3 of our 4 angles so we can solve this as an equation
90 + 90 + 52 + x = 360
232 + x = 360
x = 128
PLEASE HURRY ITS ONLY MATH!!!
Board Game Sales
A small company is selling a new board game, and they need to know how many to produce in the future.
After 12 months, they sold 4 thousand games; after 18 months, they sold 7 thousand games; and after 36 months, they sold 15 thousand games.
This information could be reasonably estimated using a single linear model?
Group of answer choices
True
False
If so, use the model to estimate the number of games sold after 48 months. If not, explain your reasoning.
Answer:
true
Step-by-step explanation:
1. Find the area of a parallelogram with base b and height h.
b = 82 cm
h = 16.6 cm
Answer:
A = 1361. cm²
Step-by-step explanation:
A = b x h
b = 82 cm h = 16.6 cm
A = 82 x 16.6
A = 1361.2 cm²
please help me! i'll give brainliest! but only if the answer is correct
Answer:
4 in
Step-by-step explanation:
Volume of cube is side ³ so
64= side ³ so side = ∛64 = 4
Use the method of completing the square to transform the quadratic equation into the equation form (x+p)^2 = q
-4+4x+x^2
Answer:
To transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)²=-71/36
the answer is:
1/36(6x-1)²=-71/36
Step-by-step explanation:
A store is having a 20% off sale. Find the sale price of a video game system that regularly costs $249.99
Answer:
A.200
Step-by-step explanation:
i need this fast sooo help meee
Answer:
1) 366
2) 448
3) 748
Step-by-step explanation:
[tex]SA_1 = 2(lw + lh + wh) = 2(13 * 9 + 13 * 3 + 9 * 3) = 2(117 + 39 + 27) = 2 * 183 = 366[/tex]
[tex]SA_2 = 2(lw + lh + wh) = 2(20 * 4 + 20 * 6 + 4 * 6) = 2(80 + 120 + 24) = 2 * 224 = 448[/tex]
[tex]SA_3 = 2(lw + lh + wh) = 2(16 * 14 + 16 * 5 + 14 * 5) = 2(224 + 80 + 70) = 2 * 374 = 748[/tex]
please help will give brainliest
Answer:
I think the 9 is correct.
Step-by-step explanation:
Answer: c = √41
Step-by-step explanation:
4^2 + 5^2 = c^2
16 + 25 = c ^2
41 = c^2
c = √41
HEEELLLLPP!!!!!!!!!! Please help i hate algebra this is so confusing!!!!
I know that the answer is B, 60. But I need to know how i got to that answer. Please help i am so confused.
The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit? *
Answer:
Explanation is the answer
Step-by-step explanation:
The max happens at the vertex. The line of symmetry runs through the vertex. So if you have the x-intercepts of the graph, the axis of symmetry will be the same distance from them but on opposite sides of the axis of symmetry. So if you have the x-intercepts then you can average them to fnd the x-coordinate of the middle point, the vertex.
So your factored form says the x-intercepts are (20,0) and (100,0).
So the x-coordinate of the vertex is (20+100)/2=120/2=60.
The question is asking for x-coordinate of the vertex so we are done.
Answer:
the other guy who answered is correct
Step-by-step explanation:
Item 2
Find the LCM of 35 and 15
Answer:
Its 35
Step-by-step explanation:
9x + 9x − 21 = 33
Please solve C:
Answer and Step-by-step explanation:
For this equation, solve for x.
Combine like terms.
18x - 21 = 33
Add 21 to both sides of the equation.
18x = 54
Divide both side of the equation by 18.
x = 3
x = 3 is the answer.
#teamtrees #PAW (Plant And Water)
Which of the expressions below is equal to 4x+12? Select all that apply.
A) 3x+8+x+4
B) 2x(x+6)
C) 4(x+3)
D) 2(2x+6)
Answer: a, c and d
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
trust me
Write a polynomial of degree 3 that satisfies each of the given conditions.
Is factorable
Can be factored by grouping
Answer:
https://www.jacksonsd.org/cms/lib/NJ01912744/Centricity/Domain/504/BI%207-8.pdf
Step-by-step explanation:
the link to help you with the answers
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
a- Write an equation to represent the situation
b- solve the equation to find the cost of one pizza. Show your work
Answer:
Step-by-step explanation:
a) Let the cost of a Pizza = $ x
Cost of three pizza's = 3 *x = 3x
cost of 3 pizza + cost of a salad = $ 20.7
3x + 3 = 20.7
b) 3x + 3 = 20. 7 {Subtract 3 from both sides}
3x = 20.7 - 3
3x = 17.7 {Divide both sides by 3}
x = 17.7/3
x = 5.9
Cost of one pizza = $ 5.9
Please solve; d=√(x₁ – x₂)² + (y₁ – y₂)²
Answer:
$%):)))))) thanks. please i need one brainliest lol
Step-by-step explanation:
uh can someone please help? please get it right and try to explain how
Answer:
From least likely to most likely:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Step-by-step explanation:
Converting all probabilities to the same type may be easier to visualize and see the chances. Let's convert each chance to percentage:
P(I Am Pat wins) = 3/10 = 30%
P(Good Legs Lance wins) = 0.6 = 60%
P(Colorado Bronze wins) = 10%= 10%
Thus, the desired order is:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Answer:
Colorado Bronze wins, I Am Pat wins, Good Legs Lance wins
Step-by-step explanation:
Alright! Colorado’s percentage is already there: 10%
Now for I Am Pat! Change the fraction to a decimal then to a percentage:
3/10 = 0.3 = 30%
Boom! There ya go now when changing a decimal to a percent, you move the decimal point 2 times back and that’s how you get 30%.
Next, Good Legs Lance! All you have to do is change the decimal to a percent:
0.6 = 60%
Same process from before, move the decimal point two times back to get 60%!
And then you order them:
10%, 30%, 60%
Colorado Bronze wins, I Am Pat wins, Good Legs Lance wins
Hope this helped Good luck! :)
i thought it was if question but it is just 9
Answer:
17-d=5
Step-by-step explanation:
Hope this helps :)
Which point on the grid have they NOT explored?
A.
(3, -3)
B.
(-2, -2)
C.
(0, 3)
D.
(-3, 1)
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
(THIS IS 6TH GRADE MATH) I need help on number 7 and 10
Someone please help ASAP! ITS DUE TODAY! Will give BRAINLIEST a to the person that gives a correct answer and explanation.
plz help!!!!!Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately?
Answer:
I think i am not sure.
select the correct answee from each drop- down menu
in the figure, x = (55, 95, 118) y = (118, 128, 147) and z = (118, 128, 147)
x=95°
y=147°
z=128°
here are the answers, they are correct, be sure
Answer:
X = 95
Y = 147
Z = 128
Step-by-step explanation:
Lewis directs the school marching band. He uses scale drawings of the football field to design marching formations for the band. The football field is 100 yards long and yards wide. Lewis always uses a scale of 1 inch to 10 yards for his drawings.
Complete the steps below to find the length and width of the football field as it appears in one of Lewis’s scale drawings.
Part A
What is the actual area of the football field? Assume that the field is shaped like a rectangle.
The length of the football field is 100 yards. The width of the field is 53 1/3 yards.
The area of a rectangle is length × width:
area = length * width
= 100 yd. * 53 1/3 yd.
= 5,333 1/3 sq. yd.
The area of the football field is 5,333 1/3 square yards.
Write a ratio to represent the scale used in the drawing.
Answer:
5,333 1/3
Step-by-step explanation:
The length of the football field is 100 yards. The width of the field is 53 1/3 yards.
The area of a rectangle is length × width:
area = length * width
= 100 yd. * 53 1/3 yd.
= 5,333 1/3 sq. yd.
The area of the football field is 5,333 1/3 square yards.