What is the surface area of this cylinder?
Use a ~ 3.14 and round your answer to the nearest hundredth.

What Is The Surface Area Of This Cylinder?Use A ~ 3.14 And Round Your Answer To The Nearest Hundredth.

Answers

Answer 1

The surface area of the cylinder is [tex]\( 904.32 \, \text{cm}^2 \)[/tex]

The surface area (A) of a cylinder is given by the formula:

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

where:

- [tex]\( r \)[/tex] is the radius of the base,

- [tex]\( h \)[/tex] is the height,

- [tex]\( \pi \)[/tex] is a constant approximately equal to 3.14.

Given the values:

- Radius [tex](\( r \))[/tex] = 8 cm

- Height [tex](\( h \))[/tex] = 10 cm

- [tex]\( \pi \)[/tex] = 3.14

Plug these values into the formula:

[tex]\[ A = 2 \times 3.14 \times (8)^2 + 2 \times 3.14 \times 8 \times 10 \][/tex]

[tex]\[ A = 2 \times 3.14 \times 64 + 2 \times 3.14 \times 80 \][/tex]

[tex]\[ A = 401.92 + 502.4 \][/tex]

[tex]\[ A = 904.32 \, \text{cm}^2 \][/tex]

Therefore, the surface area of the cylinder is [tex]\( 904.32 \, \text{cm}^2 \)[/tex].

Answer 2
Final answer:

The surface area of a cylinder is calculated using the formula A = 2πr² + 2πrh, combining the areas of the top and bottom circles and the side surface.

Explanation:

To find the surface area of a cylinder, we need to add the areas of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is:

A = 2πr2 + 2πrh

where r is the radius of the circular base and h is the height of the cylinder. In this case, you can use a value of ~3.14 for π (pi) and round your answer to the nearest hundredth.

To calculate the surface area of a cylinder, you need to know the radius of the cylinder and its height. The formula for the surface area (A) of a cylinder is A = 2πr² + 2πrh, where r is the radius, and h is the height. This includes both the areas of the top and bottom circles (2πr²) and the area of the side surface (which is the circumference of the circle times the height, 2πrh). If the student provides the dimensions of the cylinder, use them to plug into this formula and calculate the surface area.


Related Questions

HELP ME please :) Please

Answers

Answer:

If the question was to the first one I'm pretty sure the answer is a lot fewer people got sick I'm not sure but the second question but from what I could see of the bottom question burning fossil fuels driving cars and deforestation I know are may cause global warming I can't see the rest of it though and I'm not sure about ice cores

Step-by-step explanation:

Plz help me love you

Answers

Answers)

27=6

30=82

33=24

27. 10/2 +1= 6

30. 10^2-18=82

33. 3(10)+2(9)-6(4) =24

NEED HELP ASAP
the angle of elevation from the far side of the pool to the top of the waterfall is 54 degrees and the distance is 230 ft. Find x

Answers

Answer:

(Use right triangle)

1) find the height of the waterfall (opposite side) to the nearest foot.

draw the triangle.  distance from  far side of the pool to the top of the waterfall is the hypotenuse given to be 230.

sinx = opp/hyp

sin54 = opp/230

opp = 230sin54

opp = approx 186 ft

2) find the width across the pool (adjacent side) to the nearest foot.

cosx = adj/hyp

cos54 = adj/230

adj = 230cos54

adj = approx 135 ft

Answer: 135 ft

The value of x is 135.2 feet.

To understand more, check below explanation.

Angle of elevation:

From given figure,

It is observed taht, a right angle triangle is formed in the given figure.

Angle of elevation = 54 degree

Hypotenuse  = 230 feet

We have to find base i.e x

Apply cosine of angle,

               [tex]cos (54)=\frac{x}{230}\\ \\x=230*cos(54)\\\\x=230*0.587\\\\x=135.2ft[/tex]

Hence, the value of x is 135.2 feet.

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risha wants to buy a computer for $775. She already has $275 saved and earns $100 a week babysitting. a. Use w to represent weeks and write an inequality that could be used to determine how many weeks she would have to work to afford the computer. b. How many weeks does she have to work?

Answers

Answer

Inequality=100x+275≥775       Answer=5 or more

Step-by-step explanation:

Are these triangles similar?

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

They are not similar because one has a length of 9 and one has a length of 16They would be similar if it had a side length of 8 and a bottom lenght of 6Hope this helped :)

Assuming that the Earth is a sphere of radius 4000 miles, find the distance between the
following two cities whose latitudes are given. You may assume that these cities are on
the same basic longitude.
Cincinnati, Ohio (39° 8' 46" N) and Huntsville, Alabama (34° 43'41" N)

Answers

Answer:

308.44 miles

Step-by-step explanation:

Cincinnati, Ohio (39° 8' 46" N); and Huntsville, Alabama (34° 43'41" N)

If the two locations are on the same basic longitude, then they are both on a great circle.

Distance along great circle [tex]=\dfrac{\theta}{360^\circ}X2\pi R[/tex]

Where:

[tex]\theta=$Angular difference\\R=Radius of the earth[/tex]

Since they are on the same polar axis (North), we subtract.

Angular Difference =39° 8' 46"-34° 43'41"=4°25'5"

Therefore:

[tex]Distance =\dfrac{4\°25'5''}{360^\circ}X2*4000*\pi \\=308.44 \:miles[/tex]

solve for c 3c − 10 = 2c

Answers

Hopefully this helps
C=10

Answer:

10 is your answer for c.

Step-by-step explanation:

Isolate the variable c. Note the equal sign, what you do to one side, you do to the other.

Subtract 3c from both sides:

3c (-3c) - 10 = 2c (-3c)

-10 = 2c - 3c

-10 = -c

Isolate the variable, c. Divide -1 from both sides:

(-c)/-1 = (-10)/-1

c = -10/-1

c = 10

c = 10 is your answer.

~

What is the "unknown" in this problem that we need to find?

Answers

Answer:sorry i cant help but i dont see an unknown in this question please edit your answer so we can see something.Thank you.

Step-by-step explanation:

Factor polynomial p^2-20p+100

Answers

Answer:

[tex](p-10)^2[/tex]

Step-by-step explanation:

[tex]p^2-20p+100=\\(p-10)^2[/tex]

Hope this helps!

p − 10 ) 2

Step-by-step explanation:

5)What will be the new position of the given point (7,4) after translation of
2 units left and 4 units up?
a) (5,8) b) (9,-8) c) (5,-8) d) (9,8)

Answers

It would be (5,8) so answer

Answer:

The correct answer is (5,8)

Step-by-step explanation:

Which function has a domain of all real numbers

Answers

Final answer:

Functions with all real numbers as their domain include polynomial functions, sine and cosine functions, and exponential functions. For example, the function f(x)=x², f(x) = sin(x), or f(x) = cos(x) and f(x)=a^x (where a>0).

Explanation:

In Mathematics, the domain of a function is the set of values that can be plugged into the function. There are multiple functions that have a domain of all real numbers, some of them are polynomial functions, sine and cosine functions, and exponential functions.

For example, the function f(x)=x² is a polynomial function where any real number can be inputted for x, hence its domain is set of all real numbers.

Similarly, sine and cosine functions, represented as f(x) = sin(x) or f(x) = cos(x), have a domain of all real numbers, because sine and cosine are periodic and their values repeat over every interval of 2π.

Furthermore, the exponential functions, represented in the form f(x)=a^x (where a>0), have also their domains as the set of all real numbers.

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I need some help with this answer please :)

Answers

I would say it has 1/3 chance

Answer:

1/9 is my guess

Step-by-step explanation:

A picture frame measures 9 inches high and 5.4 Inches wide. It will be proportionately enlarged so the height will be 15 inches. How wide will the frame be?

Answers

Answer:

Width: 9 inches

Step-by-step explanation:

1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial

2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3

3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided the frame's dimensions are proportionately enlarged. Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4

4. Through cross multiplication, let us solve for x:

2 * 5.4 = 3 * x,

10.8 = 3 * x,

x = 3.6 inches by which the width should be enlarged

5. If we are to determine the new width of the frame after enlargment, add 5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches

Have no clue but the said answer 2 questions to ask 1 more in sorry for the waisted time

Study the following diagram, where points C and D lie on circle A.
Point B lies in the exterior of circle A.
Angle ACB and angle ADB are right angles.

The diagram as described in the problem, where segment B C equals negative 2 x plus 85 and segment B D equals 5 x minus 48.

What is the length of BC¯¯¯¯¯¯¯¯?
Enter the correct value.

Answers

Answer:

Triangle ACB = Triangle ADB

=> BC = BD

=> -2x+85 = 5x - 48

=> x = 133/7 = 19

=> BC = -2 x 19 + 85 = 47

If we are provided with the value of AC or CD, we can calculate the length of BC is 47

Let's first determine the lengths of segment BC and BD in terms of x using the given expressions:

BC (B C¯¯¯¯¯¯¯¯) = -2x + 85

BD (B D¯¯¯¯¯¯¯¯) = 5x - 48

Now, as ACB and ADB are right angles, we can utilize the property of perpendicular chords intersecting a circle to find the value of x. When two chords intersect inside a circle, the product of their segments is equal. Therefore, we can set up the following equation:

BC * BD = (AC * CD) [Property of perpendicular chords intersecting]

Substitute the values:

=> BC = BD

When we simplify this one, then we get,

-2x+85 = 5x - 48

Then the value of x is calculated as,

x = 133/7 = 19

BC = -2 (19) + 85 = 47

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Paul rolled a number cube. What is the probability he will roll a 5 or 6

Answers

Answer:

2/6, 33.33, or 33.33%

Step-by-step explanation:

6 total possible outcomes, and 2 in this scenario.

That's 2 over 6.

Hope this helps!

Answer:

2 chances divide by 6 sides = 0.333333 or 1/3 or 33% like the other person said.

Step-by-step explanation:

can someone please help i need to write the equation of the green line

Answers

f(x) = ax + b

(0, -4):

           f(0) = a•0 + b

           f(0) = b      ⇒     b = -4

(12, 0):

           0 = a•12 + b

           0 = 12a - 4

           4 = 12a

           [tex]a=\frac4{12}=\frac13[/tex]

The equation of the green line:

                                                   [tex]\underline{\,y=\frac13x-4\,}[/tex]

or:      [tex]y=\frac13x-4[/tex]

         [tex]-\frac13x+y+4=0\\\\\underline{x-3y-12=0}[/tex]    

What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round the answer to the nearest square meter.
2,381 m2
2,790 m2
2,833 m2
6,571 m2

Answers

The answer will be 2833 m2

An amusement park's cost for cotton candy is $1.50. The markup rate for cotton candy is
300%. What is the price of cotton candy at the park?

Answers

Answer:

The answer is $6

Hope this helps!

The price of cotton candy at the park is $6.00.

The markup rate of 300% means the price is increased by three times the cost. So, $1.50 * 3 = $4.50 is the markup cost. Adding the original cost to the markup cost gives $1.50 + $4.50 = $6.00.

On which of the following lines does the point (–3, –1) lie? y = −4x − 6 y = 3x + 9 y = −3x − 10 y = 5x − 1

Answers

Answer: [tex]y = -3x - 10[/tex]

Step-by-step explanation:

You can substitute the value "-3" for x and "-1" for y in each of the equations given. Whichever equation is correct when simplified is the line that the point (-3, -1) lies on:

[tex]-1 = -4(-3)-6\\\\-1=3(-3)+9\\\\-1=-3(-3)-10\\\\-1=5(-3)-1[/tex]

Simplifying the right side of each equation:

First equation: -1 = 6

Second equation: -1 = 0

Third equation: -1 = -1

Fourth equation: -1 = -16

The correct answer is "[tex]y = -3x - 10[/tex]".


An equation for the depreciation of a car is given by y = A(1-r)^twhere y = current value of the car, A = original cost, r = rate of
depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately
how old is the car?

Answers

Answer: The car is 6.6 years old.

Step-by-step explanation:

Hi, to answer this question we have to replace the values in the equation given:

Y = 1/2 (half the value)

A = 1 (total value)

r =10% = 0.10 (decimal form)

Replacing:

y = A(1-r)^t

1/2 = 1 (1-0.10)^t

Solving for t:

(1/2)/1 = 0.9^t

1/2 = 0.9^t

log 1/2 = log 0.9^t

log 1/2 = (t) log 0.9

(log 1/2)/ log 0.9 = t

6.57 =t

6.6 years (rounded)

rnhymfrtyunryhbxdgveZvf

Answers

Answer: part of the alphabet

Step-by-step explanation: nice

The sum of the first 333 terms of a geometric series is 171171171 and the common ratio is \dfrac23

3

2



start fraction, 2, divided by, 3, end fraction.

What is the first term of the series?

Answers

Answer:

The first term of the series is 81

Step-by-step explanation:

The sum of the nth term of a geometric sequence is expressed as shown;

Sn = a(1-rⁿ)/1-r for r<1

a is the first term

r is the common ratio

n is the number of terms

Given Sn = 171

r = 2/3

n = 3

a =?

Substituting the values in the equation

171 = a(1-(2/3)³)/1-2/3

171 = a(1-8/27)/(1/3)

171 = a(19/27)/(1/3)

171 = a × 19/27 × 3/1

171 = a × 19/9

Cross multiplying

171×9 = 19a

1539 = 19a

a = 1539/19

a = 81

The first term is 81

Answer:

81

Step-by-step explanation:

Plz help meeeee plzzzz

Answers

Answer:

-4p³+3p²-17p

Step-by-step explanation:

(-3p³+5p²-2p)+(--8p²-15p)

-3p³+5p²-2p-p³-8p²-15p

-3p³-p³+5p²-8p²-2p-15p

=-4p³+3p²-17p

Howard wants to use multiplication to solve w=5 divided by 1/5 Which multiplication equation can Howard use?

A:5*1/5=w

B:1/5*5=w

C:5=1/5*w

Answers

Answer:

C.5=1/5*w

Step-by-step explanation:

W=5÷1/5

Multiply both sides by 1/5

(1/5)w=5÷1/5(1/5)

(1/5)w=5×5/1(1/5)

1/5*w=25/1 * 1/5

1/5*w=25/5

1/5*w=5

It can also be written as

5=1/5*w

Answer:

5 1/5 * w

Step-by-step explanation:

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Answer the problem below. Show all your work/thinking.

1. Find the surface area of the following figure, then explain the steps of your solution in
paragraph form.

Answers

Answer:

Around 202.08

Step-by-step explanation:

The formula for the surface area of a pyramid is [tex]a^2 +2a\sqrt{\frac{a^2}{4}+h^2}=9^2+2\cdot 9\sqrt{\frac{9\cdot 9}{4}+5^2}=81+18\sqrt{45.25}\approx 202.08[/tex]. Hope this helps!

2/3+q=1/2 what is Q

Answers

Q=rational number=1/6

2/3+q=1/2=1/6

Need help with question 2 ASAP PLS anything is appreciated:)

Answers

Answer:

D

Step-by-step explanation:

It is D because the coordinate (1,1) isn't equals to (2,4); (3,27); or (4,24). It is not constant and you cannot make a linear function/equation out of it.

If you had 20 equal parts, how would you shade in 85% of it? How many parts would you shade in?

Answers

Shade in 17 parts. 100% is 20 parts, and 100/20=5. You have to shade 85%, and 85/5=17.

Shade in 17 parts.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

We had 20 equal parts.

i.e. 100% is 20 parts,

and 100/20=5.

You have to shade 85%,

and 85/5=17.

Hence, there are Shade in 17 parts.

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Using the greatest common factor for the terms, how can you write 56 + 32 as a product?

A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)

PLZ HELP

Answers

Answer:

8(7+4) (C.)

Step-by-step explanation:

First find the biggest number thta can go into 56 and 32:

8!

Since C. is the only one that has an 8 out in the front, let's try that one:

[tex]8*7=56[/tex]

[tex]8*4=32[/tex]

So C. Is correct!

Which set of ordered pairs represents y as a function of x? A) {(0, 0), (−1, 2), (−1, −2), (−2, 4), (−2, −4)} B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)} C) {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)} D) {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}

Answers

Answer: D

Step-by-step explanation:

No two coordinates can have to same input(x) and different outputs(y)

Final answer:

Option A represents y as a function of x because each x-value is associated with only one y-value.

Explanation:

To determine if a set of ordered pairs represents y as a function of x, we need to check if each x-value is associated with a unique y-value. In option B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}, we can see that the x-value 3 is associated with two different y-values, 9 and 16. Therefore, option B) does not represent y as a function of x.

The correct answer is option A) {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}. In this set, each x-value is associated with only one y-value. For example, x = -1 is associated with y = 2 and y = -2. Since no x-value is repeated with different y-values, this set represents y as a function of x.

Option C) {(0, 0), (0, 1), (0, 2), (0, -1), (0, -2)} and option D) {(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)} both have repeated x-values with different y-values, so they do not represent y as a function of x.

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