the diameter of a cylinder is 8 inches. the height is 12 inches. what is the surface area of the cylinder?

Answers

Answer 1

Answer:

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]

Step-by-step explanation:

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Height = 12 inches Diameter of base = 8 inches

Figure :-

[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\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}[/tex]

[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]

Hence the Surface area of the Cylinder is 402.28 in.³ .
Answer 2

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

Learn more about Cylinder here:

https://brainly.com/question/12248187

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Related Questions

What is the equation of the line in slope-intercept form? ​

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

RIse / run

find a point then go up one and right two to the next point which gives you 1/2

the y intercept is -2 because thats where the line is interceting

Help me, save my life.

Answers

25^2 or 5 hope this helps

I GIVEEEEE BRAINLILSTTTTT

Answers

Answer:

side of black is 7

side of green is 14

Dilation scale factor is 2

hope this helps :)

please mark branliest

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.

Now, we divide the length taken from the figure by the length taken from the original shape.

14/7=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Can someone please help me

Answers

Answer:

no nononononmonno

Step-by-step explanation:

jahgajahahahhahahahahhavdbsvfbsbdvdv

A line has a slope of 5 and passes through the point (1, 0). What is its equation in
slope-intercept form?

Answers

Answer:

y=5x-5

Step-by-step explanation:

find y-intercept:

0=1(5)+b

b=-5

Answer:

y = 5x - 5

Step-by-step explanation:

y = mx + b

m = 5

b = ?

Plug in the coordinates

0 = 5(1) + b

0 = 5 + b

-5 = b

Finally:

y = 5x - 5

On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from

Answers

Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

Given data

Height of victim= 4.5ft

The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

The vertical distance

The opposite= the vertical distance

789 ft = the adjacent

Step two:

Applying SOH CAH TOA

tan ∅= opp/adj

tan 5= opp/780

cross multiply we have

0.0874= opp/780

cross multiply we have

0.0874*780= opp

opp= 68.17m

The sniper shoots from a vertical distance of  68.17m

Find the equivalent expression.

3+5x−4y+2y−8x

Answers

Answer:

-3x - 2y + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3 + 5x - 4y + 2y - 8x

Step 2: Simplify

Combine like terms (x):                    -3x - 4y + 2y + 3Combine like terms (y):                    -3x - 2y + 3

Answer:

3+5x−4y+2y−8x is the equivalent ti 3-3x-2y

Step-by-step explanation:

3+5x−4y+2y−8x

3+5x-8x-4y+2y

3-3x-2y

What is the missing reason in the proof?



Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) Definition of subtraction
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y ________________________



Additive Identity Property


Opposite of a Sum Property


Additive Inverse Property


Symmetric Property

Answers

Answer: the answer is additive identity property i just took the test

Step-by-step explanation: i hope this helps

3.5 ÷ 2.29 round to nearest tenth​

Answers

Answer:

1.5

Step-by-step explanation:

Thats rounded.

Find the value of each trigonometric ratio.

Answers

Answer: C

Step-by-step explanation:

u have insta

Answer:

sine = opposite / hypotenuse

sine C = 8 / 15

sine C = .53333333333333

Step-by-step explanation:

Jeans are normally $60. They are currently priced 20% off. What would be the final price of the jeans?

Answers

the jeans would be $ 48

Answer:

The final price of the jeans would be $48.

Ana played 4444 rounds of golf and then played her lowest round of golf with a score of 80808080.
The scores of the first 4 rounds\blueD{\text{first 4 rounds}}first 4 roundsstart color #11accd, start text, f, i, r, s, t, space, 4, space, r, o, u, n, d, s, end text, end color #11accd and the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff are shown in the following dot plot.
A dot plot has a horizontal axis labeled, Golf score, marked from 80 to 100, in increments of 1. 1 dot is plotted above each of the following values: 80, 90, 92, 94, 96. The dot above 80 is shaded purple.
How did the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff affect the mean and median?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
The median decreased, and the mean increased.
(Choice B)
B
The mean decreased, and the median increased.
(Choice C)
C
Both the median and mean decreased, but the mean decreased by more than the median.
(Choice D)
D
Both the median and mean decreased, but the median decreased by more than the mean.

Answers

Answer:

I'm going to chose B sorry if that the wrong answer

Answer:

It's C

Step-by-step explanation:

What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?

15

52

4

5

Answers

Answer:

Multiply both sides by [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

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

Required

Get an equivalent of [tex]x = 25[/tex]

To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]

[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]

[tex]x = 10 * \frac{5}{2}[/tex]

[tex]x =\frac{10*5}{2}[/tex]

[tex]x =\frac{50}{2}[/tex]

[tex]x = 25[/tex]

Which graph represents an exponential function?

Answers

Answer:

A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.

The points (1, 4) and (0, 2) fall on a particular line. What is its equation in slope-intercept
form?

Answers

y = 2x + 2

that is your slope intercept equations

Dan makes several smoothies using 3 4/5 cups blueberries for every 2 2/3 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 5 1/3 cups of strawberries?

Answers

Answer:7 3/5

Step-by-step explanation: 3 4/5 blueberries = 2 2/3 strawberries

                                               ? blueberries    =5 1/3 strawberries

do 3 4/5 times 5 1/3 which gives you 20 4/15.Now divide 20 4/15 by 2 2/3 which gives you 7 72/120 and you can simplify to 7 3/5.

Hope it helps  . :)

Answer:

I made this so you can give the other guy brainlyeist.

Step-by-step explanation:

Who can help on this for brainliest ?

Answers

Answer:

6

Step-by-step explanation:

[tex]1\frac{1}{2}[/tex]÷[tex]\frac{1}{4}[/tex]=

[tex]\frac{3}{2} *\frac{4}{1}[/tex]=

6

Hope this helps!

Pls give brainliest

Answer:

3 or 6

Step-by-step explanation:

im pretty sure its 3 or 6

1 7/8 times 4/5 simplified!!!

Answers

Answer:

1.5

Step-by-step explanation:

Quadrilateral EFGH was dilated and rotated 90° clockwise about the origin to form quadrilateral EFGH! Which part of quadrilateral EFG'H'is congruent to quadrilateral EFGH?​

Answers

Answer: It’s angle measures

Step-by-step explanation: iready

Find the length of the radius of the circle.
A)
2 inches
B
B)
3 inches
)
6 inches
D)
8.5 inches

Answers

Answer:

C)  6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

Answer:

By Pythagoras theorem, we get

[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]

C) 6 inches is the right answer.

4. (LT 1.1) The perimeter of the rectangle below is 40 feet. Its length and width are
given in terms of x. Find the length and width of the rectangle.
3x
2x + 5

Answers

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

Given the following data;

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

Now, to find the length;

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

To find the width;

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

Width, W = 11 feet.

What's the Answer for (-8 ) – (- 8 ) =


Answers

The answer for this is 0
It would be -64 because it’s -8 multiplied by a -(-8) which is positive so it’s -8 •8

Pls help I’ll brainlest grades close today

Answers

Answer:

12.5%

Step-by-step explanation:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100

20 ÷ 80 ÷ 2 × 100

0.25 ÷ 2 × 100

0.125 × 100

12.5 %

Answer:

12.5%

!!!!!!!!

Find the number of faces, edges, and vertices of this shape.​

Answers

Faces: 7

Edges: 12

Vertices: 7
Faces:7

Vertices:12

Edges:7

There were 4 students at the football game. They had 6 sodas to share
equally. How much soda did each child get?

Answers

Answer:

1.5

Step-by-step explanation:

6/4=3/2

3/2=1 1/2

or

1.5

Answer:

1.5

Step-by-step explanation:

what is the slope of a vertical line?

Answers

Answer:

undefined

Step-by-step explanation:

"HOT PIZZA" is offering a 20% discount on all its pizza
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?

Answers

Answer: the answer is 7

Step-by-step explanation:

first you divide the price by four then add a quarter to the original amount. gl

What are the convection currents in Earth's mantle believed to be responsible for?

ocean currents

climatic changes

uneven surface heating

tectonic plate movements

Answers

Answer:

tectonic plate movements

Step-by-step explanation:

Elsie bought a video game for 85$. if the store charges 170% of its cost for the game, how much is the store's profit?​

Answers

Answer: $59.5

170/100 * 85 = 144.5

144.5 - 85 = 59.5

If that is wrong my next guess is $144.50

4. a. Write a story to represent the equation 15 ÷ 1/9 : _______. Solve the equation and complete the story.
b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help.

Answers

Answer:

4555

Step-by-step explanation:

32233x222213456765x345665434565

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