A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of Pi. Recall the formula S A = 2 pi r squared + 2 pi r h. 1,320 pi feet squared 1,792 pi feet squared 2,080 pi feet squared 2,640 pi feet squared

Answers

Answer 1

Answer:

2080

Step-by-step explanation:

Answer 2

The surface area of the cylinder is 2080π square feet. Answer: 2,080 pi feet squared.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi (approximately equal to 3.14159).

Since the diameter is given as 40 feet, the radius is half of that, or 20 feet.

So, substituting the values into the formula, we get:

SA = 2π(20)² + 2π(20)(32)

SA = 2π(400) + 2π(640)

SA = 800π + 1280π

SA = 2080π

Therefore, SA = 2080π.

To learn more about the cylinder;

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Related Questions

summer break is almost around the corner. You and your family call an uber and need to know how many miles you can be driven. Uber charges a service fee of $1 and charges $0.52 per mile. Your parents are willing to spend no more than $15. How many miles can be driven?

Answers

Answer:

You can go 26 miles

Step-by-step explanation:

15 - 1 = 14

14 ÷ 0.52 = 26.92

What is the value of the expression below?
16.86 x 103​

Answers

Answer:

1736.58

Step-by-step explanation:

Answer:

1736.58

Step-by-step explanation:

i multiplied

I need help...please and thank you :,)
On her first stroke, Maya hit a golf ball 146 yards, 2 feet, 11 inches. On her second stroke, she hit it 163 yards, 1 foot, 2
inches. How far did the ball go altogether? Convert the answer to larger units whenever possible.
A. 311 yards 11 inches
B. 310 yards, 1 foot, 1 inch
C. 309 yards, 3 feet, 13 inches
D. 309 yards, 1 foot, 1 inch

Answers

Answer:

A

Step-by-step explanation:

1 yard = 36 inches

1 feet = 2 foots = 24 inches

First time, she's got 5315 inches, second time is 5868 inches

5315 + 5868 = 11183 inches

11183 : 36 = 310.638888889 inches

Change it and we have answer A, 311 yards 11 inches

-3(x-4) + 7 = 4x - 9
Help me please!!

Answers

Answer:x=4

Step-by-step explanation:

Do your distribution rules to get -3x+12+7=4x-9. Then combine like variables to get -3x+19=4x-9. Add the 9 to 19 and get 28 then add the 3 to 4 to get 7. Should look like 28=7x. Divide the 7 to 28 and get the answer of 4

Answer:

X=4

Step-by-step explanation:

-3(x-4)+7=4x-9

-3x(12)+7=4x-9

+3x         +3x

      12+7=7x-9

         +9   +9

      12+16=7x

          28=7x

          28/7

           4=x

                 

What’s the area of the triangle ?

Answers

So the right answer is 4 units^2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]4 {units}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

ACION



A student claims that if you dilate the net for a cube using a scale factor of 2, the surface



area of the resulting cube is multiplied by 4 and the volume is multiplied by 8. Does this



claim make sense?



(select)



make sense.

Answers

Answer:Yes

Step-by-step explanation:

Given

Suppose side length of cube is a

If we dilate the cube using a scale factor of 2

Side length becomes 2a

and the surface area becomes [tex]=6(\text{side length})^2[/tex]

Surface area[tex]=6(2a)^2[/tex]

Surface area[tex]=4\times 6(a)^2[/tex]

Thus surface area multiplied by a factor of 4

Now for volume

[tex]V=(\text{side length })^3[/tex]

[tex]V=(2a)^3[/tex]

[tex]V=8(a^3)[/tex]

Therefore volume is multiplied by a factor of 8

Therefore the above statements make sense

A sphere with center A is shown. Which represents a radius?
B
С
A.
B. BC
C. DG
D.
FE

Answers

Answer:

Segment AD

Step-by-step explanation:

Radius is a line that goes half way. In other words, it starts anywhere, and ends at the center of the circle.

Answer:

AD

Step-by-step explanation:

The radius goes from the center of the circle to the outer edge

AD  and AG are radii

A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics that worked for her company. Consider the following Venn diagram.

What is the probability that a randomly selected mechanic from her 3 garages is ASE certified to work on Brakes? A.3/5. B. 1/2. C. 2/9. D. 4/15

Answers

Answer:

B. 1/2

Step-by-step explanation:

In the picture attached, the Venn diagram is shown

amount of ASE certified brakes mechanics: 4+2+2+1 = 9

amount of mechanics: 4+2+2+1+3+3+3 = 18

The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2

Answer:

B. 1/2

Step-by-step explanation:

Find the missing side, x of the triangle using the appropriate formula.
1 unit
16 units
8 units
2 units

Answers

Answer:

x=2

Step-by-step explanation:

triangle area is 1/2BH

1/2(4x)=4

2x=4

x=2 units

Answer:

Missing side = 2

X= 2

Have given details if x was only base of the side triangle

This is in order to find a completely new triangle with just the height and in order to find and combine 1 given area say if just the right side in your diagram was 4 and we had to find the other triangle. This is only done on scale or 1 given measure or angle for the right side triangle. We was not given this but proved a 0.3 scale.

Area of other triangle =2.66^2

2.66+4 combined = 6.66^2

Step-by-step explanation:

We find a square height is also 4

We also know a right angle triangles height can be found using either 1/2 base or 1/2 height.

So this can mean the height is and stays 4 and the base is 2.

As 1/2  4 height = 2 height

2 unit height x 2 unit base = 4

Therefore, the first triangle slant is the same.

4sq +2sq = c^2

√16+√4 = √20

c^2 = √20 = 4.47     = 4.472135955

c = 4.47 slant

Given a=4 and c=4.47,

b = 1.99522

∠α = 63.49° = 63°29'23"

∠β = 26.51° = 26°30'37"

h = 1.78543

We cna tell now that the triangle is 0.333 smaller so the measurements

Show 2/3 of 2 = 1.333 being the base across

using this as Area we find 1.333 x 2 =  2.666

(1/2 h^b of 4) =2

We can prove with the angles

63 +27 degree or

a^2+b^2 = c^2

1.333^2 + 4^2

= √1.776889+√ 16 = √ 17.776889

c^2 = 4.21626481616

c= 4.22 slant left side  (nb right side on attachment)

Angle ∠ A = α = 71.478° = 71°28'39″

Angle ∠ B = β = 63.53° = 63°31'48″

Angle ∠ C = γ = 44.992° = 44°59'33″

We see 63 angle on right lower side of attachment picture in reflection and can prove x = 3.333

But on your diagram base x = 2

What i have done is enlarged x by 0.3 and proven  how to find x if x was just one side of the triangle's height.

The triangles even though reflected are identical.

Other info is proven through finding ha and hb heights.

We confirm 4.001 is the hc height of your diagram.

Height: ha = 2.984

Height: hb = 3.16

Height: hc = 4.001

20
y
-12
14
-2 21
8
28
What is the y-intercept of the line?

Answers

Answer:

-2 21

Step-by-step explanation:

Answer:

y-intercept : (0, -223042)

Step-by-step explanation:

Simplify: 20y-1214-221828

Subtract the numbers: -1214-221828=-223042

= =20y-223042

y-intercept : (0, -223042)

Hope this helps.

                                                                                                                                         

A circle with a 12 inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?

Round your answer to the nearest whole number.

Use 3.14 for pi. Do not include units (in2) in your answer.

Answers

This is my solution.

if f(x) = 0.5(2 - x), what is the value of f(-2)?

Answers

Answer:

2

Step-by-step explanation:

f(-2)=0.5(2-(-2))=

0.5(2+2)=

0.5(4)=

2

Hope this helps!

6: Place the correct sign, < or >, between the following pairs of numbers -3□2 ​

Answers

< is the sign u should use
< is the correct answer

Triangle ABC is transformed to create triangle MNL. 2 triangles have identical side lengths and measures. The second triangle is shifted down and slightly to the right. Which statement is true? The transformation is rigid because corresponding side lengths and angles are congruent. The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent. The transformation is nonrigid because the two triangles have different names. The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.

Answers

9514 1404 393

Answer:

  The transformation is rigid because corresponding side lengths and angles are congruent

Step-by-step explanation:

The problem statement tells you angles and side lengths are unchanged, so any answer choice contradicting that can be rejected.

Whether a transformation is rigid or not has nothing to do with naming, so you can reject the "different names" answer choice.

The true statement is ...

  The transformation is rigid because corresponding side lengths and angles are congruent

Answer:

 The transformation is rigid because corresponding side lengths and angles are congruent

Which function represents the graph below?

Answers

Answer:

The inequalities all need to be of the form a < x ≤ b. i think that is it

A number cube has sides that are labeled 1 to 6. Jamal rolls the number cube. What is the probability that he will roll a 2?

Answers

Answer:

1/6

Step-by-step explanation:

Please answer correctly !!!! Will mark brainliest !!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Notice how it points it out for the x coordinate, and the closed circle means that point is included, So it's the range of the smallest x coordinate to the greatest x coordinate.

Determine the volume of a sphere with a 20 inch diameter. Use 3.14 for pi

Answers

Answer: 4,187 in3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere: 4/3 π (diameter /2)^3

Replacing with the values given;

V = 4/3 (3.14) (20/2)^3 = 4/3 (3.14) 10^3 =4,187 in3

The volume of the sphere is 4,187 cubic inches.

Feel free to ask for more if needed or if you did not understand something.

A sample of a mysterious chemical substance
naturally gains mass over time.
The relationship between the elapsed time t, in
years, since the mass of the sample, M(t), in
grams, was initially measured is modeled by
the following function:
4t+3
M(t) = (1.16)
Complete the following sentence about the
yearly percent change in the mass of the
sample.
Round your answer to the nearest percent.
Every year, there is a
%
addition to/ removal from v
the mass of the
sample.

Answers

Answer: every year there is an 81% addition to the mass of the sample

Step-by-step explanation:

Khan academy told me

The yearly percent change in the mass of the sample will be 81.06%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

A sample of a mysterious chemical substance naturally gains mass over time.

The relationship between the elapsed time t, in years, since the mass of the sample, M(t), in grams, was initially measured is modeled by the following function:

[tex]\rm M(t) = (1.16)^{4t+3}[/tex]

The yearly percent change in the mass of the sample will be

At t = 0, we have

M(0) = (1.16)³ = 1.561

At t = 1, we have

M(1) = (1.16)⁷ = 2.826

Then the percentage will be

P = [(2.826 – 1.561) / 1.561] x 100

P = 0.8106 x 100

P = 81.06%

More about the percentage link is given below.

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Please help me with answer I need help now

Answers

Answer:

2 + 3

Step-by-step explanation:

First option

I’m pretty sure it’s the first option due to that they scored more points instead of losing points.

Choose the graph of the solution to the inequality x <-12.
20
-10
0
10
20
20
-10
0
10
20
20
--10
0
10
20
20
-10
0
10
20
DONE

Answers

Answer:

The graph of the inequality x < -12 would look like the graph I attached

You have a total of 32 coins, dimes and quarters, that are worth $2.55. How many of each do you have? (work is what is needed)

Answers

Answer:

I think you just need to add those hope this helps. Sorry if it foose noy

Step-by-step explanation:

Find the zeros of the function f(x)=x2+2x-3

Answers

Answer:

x = -1 and x = 3

Step-by-step explanation:

f(x)= x^2-2x-3

f(x) = (x + 1) (x - 3)

Therefore, x = -1 and x = 3

The zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic equation is given below.

f(x) = x² + 2x - 3

Then the factor of the quadratic equation will be

f(x) = x² + 2x - 3

f(x) = x² + 3x - x - 3

f(x) = x(x + 3) - 1(x + 3)

f(x) = (x + 3)(x - 1)

The zeroes of the function will be

f(x) = 0

(x + 3)(x - 1) = 0

x = 1, -3

Then the zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.

More about the factorization link is given below.

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Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £192 per week, how much money does he have left?

Answers

Answer:

he has 1/8 left  

which is 48

Step-by-step explanation:

Answer:

$24 hope it helps

Step-by-step explanation:

Today, the price of a new cell phone is $229. In 2000, the price of a similar cellphone was $345. What is the percent of change in the price of a cell phone from 2000 to today? Round your answer to the nearest whole number

Answers

Answer: decrease of 33.62%

Step-by-step explanation:

(345-229) / 345 * 100

Answer:

Cost of cell phone in 2000 = $229

Cost of cell phone in 2020 = $345

% Change in price = 229/345x 100

Answer =66%

Step-by-step explanation:

Peter piper picked 135 pickled peppers.

He ate 3 pickled peppers during lunch.

He made 11 small batched of hot sauce from the rest.

Enter the number of pickled peppers that are in each small batches of hot sauce.

Enter an equation that can be solved to find out how many pickled peppers, f, he used for each small batch of hot sauce.

Answers

There are 12 peppers in each bottle of hot sauce

Answer:

There are 12 pickled peppers in each small batch of hot sauce. We can use the equation f = (135-3)/11 to find this answer.

What is the supplementary angle of
45°?
A. 35º B. 45° C. 135° D. 225° E. 315°​

Answers

So the right answer is 135 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

c. 135

Step-by-step explanation:

a supplementary angle is an angle that adds up to 180.

so 180-45=135

What number do you plug in for PV (present value) in the amortization formula?

Answers

Answer:

The formula for Amortization is written in my attached picture

Consider the following expression 3(4+1)(2y+5). Select all of the true statements below.

Answers

Answer: 15

Step-by-step explanation:

Solve the system algebraically. Check your work. 5x + 3y = 18 2x + 3y = 9 Make sure there are NO SPACES in your answer. Be sure to include a comma between the x and y values. ANSWER: {( a0 )}

Answers

Answer:

(3,1)

Step-by-step explanation:

5x + 3y = 18

2x + 3y = 9

So we can use elimination here to solve this system of equations by multiplying the second equation by -1

Now we have:

5x + 3y = 18

-2x - 3y = -9

Now we add straight down and combine like terms

The y terms cancel and we are left with 3x = 9, dividing both side by 3 we get x = 3

Now we can plug this x value into one of the original equations to solve for our y value

I will use the first equation: 5(3) + 3y = 18 → condensing the terms we get  15 + 3y = 18 → subtracting the 15 from both sides we get 3y = 3 → dividing both sides by 3 we get y = 1

The solution to this system of equations is (3, 1)

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