Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 4r and height 4h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?

Cylinder A Has Radius R And Height H As Shown In The Diagram. Cylinder B Has Radius 4r And Height 4h.

Answers

Answer 1

Answer:

The surface area of Cylinder B is 16 times the surface area of Cylinder A

Step-by-step explanation:

Note: It is assumed we are looking at  the total surface area (but the answer would be same for both cases)

Given

Cylinders A with radius - r, height - h,Cylinder B with radius - 4r, height -  4h.

To find

The ratio of total surface areas of cylinder B to A

Solution

Total surface area of cylinder A is:

[tex]S_A = 2\pi r(h + r)[/tex]

Total surface area of cylinder B is:

[tex]S_B = 2\pi(4r)(4r + 4h) = 8\pi(4)(r + h) = 32\pi(r + h)[/tex]

Find the ratio of areas:

[tex]\cfrac{S_B}{S_A} =\cfrac{32\pi(r+h)}{2\pi(r+h)} =16[/tex]


Related Questions

here are 7 healthy blue fish, 3 unhealthy yellow fish, 8 healthy green fish, and 3 unhealthy blue fish in a tank. what is the probability of catching a healthy blue fish?

Answers

Answer: 1/3

Step-by-step explanation:

7/21=1/3

The vertex of a parabola is at -25 what is its equation

Answers

The equation of the parabola described by means of its vertex in the task content is; y = x² -25.

What is the equation big the parabola?

It follows from the task content that the equation of the the parabola can be determined from.its vertex.

Hence, the equation of the parabola from by virtue by virtue big the vertex given is;

y = (x-0)² -25

Hence, it follows that the equation of the parabola is;

y = x² -25.

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The problem: take two solutions and plug them into the original equation. To check for extraneous solutions.

Answers

Answer: х=3.

Step-by-step explanation:

А point is missing here: determining the allowable values of x for this equation.

1. Consider the right side of the equation:

The root expression 2x+3 must be greater than or equal to 0.

2x+3≥0

2x≥-3\ |:2

x≥-1,5.

2. Consider the left side of the equation:

the left side of the equation must be greater than or equal to 0.

x≥0.

We get x≥0.         ⇒

х=3 ∈ х≥0

х=-1 ∉ х≥0.


Kamal sells 240 ice creams for a total of £640
1/3 of the ice creams he sells are large.
The cost of each large ice cream he sells is £3.80
All the other ice creams he sells are small.
He sells each small ice cream for the same cost.
Work out the cost of each small ice cream.

Answers

Answer:

2.10

Step-by-step explanation:

# of large ice creams: 240/3 = 80

# of small ice creams: 240 - 80 = 160

Total large ice cream cost: 80*3.8 = 304

Total small ice cream cost: 640 - 304 = 336

Cost of one small ice cream: 336/160 = 2.1

PLEASE HELP QUICK I WILL MAKE BRAINLIEST: Put the following four numbers in order from least to greatest:

$A.\ 4 \cdot \sqrt{5}\\ B.\ 6 \cdot \sqrt{2}\\ C.\ 5 \cdot \sqrt{3}\\ D.\ 9$

Write your answer as a list of letters, separated by commas. For example, if you believe A is the smallest, B is the next-smallest, C is the next-smallest, and D is the largest, you would write A, B, C, D.

Answers

Answer:  D, B, C, A

Step-by-step explanation:

A: [tex]4^5 = 1024[/tex]

B: [tex]6^2=36[/tex]

C: [tex]5^3=125[/tex]

D: [tex]9[/tex]

D, B, C, A

i need help fast please​

Answers

Answer:

D

Step-by-step explanation:

Triangle PQR is scaled 3x the size of Triangle LMN. This means that if length LM is 3cm, just multiply it by 3 to get length PQ, 9cm

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference. 7, 9, 10, 12, ....

Answers

The sequence is neither geometric nor arithmetic

How to determine the sequence type?

The sequence is given as:

7, 9, 10, 12, ....

Calculate the common difference to determine if the sequence is arithmetic;

d = 12- 10 = 10 - 9 = 9 - 7

Evaluate

d = 2 = 1 = 2

The above is false because 2 and 1 are not equal.

So, the sequence is not arithmetic

Calculate the common ratio to determine if the sequence is geometric;

r = 12/10 = 10 /9 = 9/7

Evaluate

r = 1.2 = 1.11 = 1.29

The above is false because the numbers are not equal.

So, the sequence is not geometric.

Hence, the sequence is neither geometric nor arithmetic

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If you don’t know the answer don’t answer it pls help me out if you do tho!

Answers

Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

Let me know if you have any more questions you want answered and I hope I explained this well.

What can be concluded from the statement ∠1 + ∠2 = 90°?

Answers

<1+<2=90°

The sum of measures of angles A and B is 90°

Hence the angles are complementary

As complementary angles have sum 90°

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.09. In a sample of 260 graduates, 20 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are __________.

Answers

The test static value is 1.44 and its associated p-value is 0.1335.

Given that the problem deals with the concept of test for single proportion. The parameter of the interest is the population proportion of graduates with GPA of 3.00 or below is less than 0.09.

Let the population proportion be p=0.09.

Let the number of graduates in a sample be n=260.

Let the number of students have a GPA of 3.00 or below be x=20.

Based on the known data, the null and alternative hypothesis are,

H₀:p≥0.09

H₁:p<0.09

The sample proportion of students have a GPA of 3.00 or below is,

[tex]\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{20}{260}\\ &=0.07\end[/tex]

Under the null hypothesis, the test static value is,

[tex]\begin{aligned}z&=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ &=\frac{0.07-0.09}{\sqrt{\frac{0.09(1-0.09)}{260}}}\\ &=\frac{-0.02}{0.018}\\ &=-1.11\end[/tex]

The p-value for the left-tailed test is

p-value=p(z<-1.11)

p-value=0.1335

Hence, the value of the test statistic and its associated p-value for the proportion of graduates with a GPA of 3.00 or below is less than 0.09. are 1.44 and 0.1335.

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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing (in m/min)

Answers

Answer:

Let R be the radius of the tank, H(t) the height of the water at time t, and V(t) the volume of the water. The quantities V(t), R and H(t) are related by the equation

V(t) = πR²H(t) ___(1)

The rate of increase of the volume is the derivative with respect to time,

dV/dt

and the rate of increase of the height is

dH/dt

We can therefore restate the given and the unknown as follows

Given:

dV/dt = 4m³/min

Unknown:

dH/dt

Now we take derivative of each side of (1) with respect to t:

dV/dt = πR²dH/dt

So

dH/dt = 1/πR²dV/dt

Substituting R = 3 m and dV/dt = 4m³/min we have

dH/dt = 1/π(3)² ⋅ 4 = 4/9π

Answer: the height of the water increasing at a rate of

dH/dt = 4/9π²

≈ 0.14 m/min

On a coordinate plane, triangle K J L is shown. Line segment G H goes from side J K to J L. Point K is at (0, 0), point G is at (e, f), point J is at (2 e, 2 f), point H is at (e + d, f), and point L is at (2 d, 0).

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.

Answers

Based on the triangle midpoint theorem, the statement which must be shown is that: B. the length of GH is half the length of KL.

What is triangle midpoint theorem?

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

Based on the triangle midpoint theorem, we can infer and logically deduce that the statement which must be shown is that the length of GH is half the length of KL.

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Answer:  B. The length of GH is half the length of KL.

Step-by-step explanation:   TRUST ME!  The answer is correct on Edge.  :)

Which equation represents the function graphed on the coordinate plane? g(x) = |x 1| 3 g(x) = |x 3| – 1 g(x) = |x – 1| 3 g(x) = |x 3| 1

Answers

The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtracts 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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Answer:

Step-by-step explanation:

The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtract 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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There are 3 yellow fish, 5 blue fish, and 7 green fish in a tank. What is the probability of catching an orange fish?

Answers

Answer: there's no orange fish

The population of classroom grows x squared in one year. the current population of classroom is 12. in one year. one the las day of the year, each person in the classroom eats 3 slices of pizza. if an entire pizza cost $26.60, how much money does a class spend per year on pizza. a pizza has 8 slices. (sorry if this makes no sense teacher made up on the spot)

Answers

The class spends $1436.4 per year on pizza. Since the population grows x² in one year, the strength of the class on the last day of the year is 12² = 144.

How to find the total population of the class in one year?

It is given that,

The current population of the classroom is 12. I.e., x = 12

So, at the end of the year, the population of the class = x²

⇒ 12² = 144

Thus, the population of the classroom on the end day of the year is 144.

How many slices of pizza are required for this population in the class?

It is given that,

On the last day of the year, each person in the classroom eats 3 slices of pizza.

So, 144 persons eat,

144 × 3 = 432 slices of pizza

Thus, 432 slices of pizza are required for the given population.

How much money does a class spend per year on pizza?

It is given that,

A single pizza has 8 slices and every single pizza costs $26.60.

Since there are 432 slices, then the number of pizzas

= 432/8

= 54 pizzas

Then, the cost of 54 pizza's = 54 × $26.60 = $1436.4

Therefore, $1436.4 was spent on pizza per year.

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helppp i need it cmonn

Answers

Answer:

uhhh i think its a carrot

Step-by-step explanation:

The Residential Energy Consumption Survey found in 2001 that 47% of American households had internet access. A market survey organization repeated this study in a certain town with 25,000 households, using a simple random sample of 500 households: 239 of the sample households had internet access. Of the 500 sample households, 7 had three or more large-screen TVs. Among the sample households, 121 had no car, 172 had one car, and 207 had two or more cars. Estimate the percentage of households in the town with one or more cars; attach a standard error to the estimate. If this is not possible, explain why not.

Answers

The percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.

According to statement we have given

239 of the 500 households in the sample had internet access.

So, find sample percentage then

Sample percentage= 500/239 =0.478=47.8%

Thus we estimate the percentage as 47.8%.

The box contains 25,000 tickets of which 47.8% are 1's and the remaining 52.2% tickets are 0's. We will draw 500 tickets from the box.

Number of draws=500

Now, find the SD then

[tex]SD= (Big number - Small number) * \sqrt{Fraction with big number * fraction with small number}[/tex]

Substitute the values then

[tex]SD= (1 - 0) * \sqrt{0.478 *0.522}[/tex]

[tex]SD=0.4995[/tex]

Now find the standard error of sum then

The standard error of the sum is the product of the square root of the number of draws and the standard deviation of the box.

[tex]SE sum =\sqrt{Number of draws} * SD box[/tex]

[tex]SE sum =\sqrt{500} * 0.4995[/tex]

[tex]SE sum =11.16[/tex]

Now find the standard error of percentage then

The standard error of the percentage is the standard error for the sum divided by the sample size.

SE percentage= SE for number/Number of draws ×100%

= 50011.1692×100%

≈0.022×100%

=2.2%

Thus the percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.

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y Ask...
Find the value of x.
5 in
10 in
OA. 5√3 in
OB. 2√41 in
C. 9
OD. 5√5 in

Answers

Answer:

OPTION A [ 53 in ]

- Please see the attached picture for full solution!:)

--------------- HappY LearninG <3 ------------

You run around the perimeter of a baseball field at a rate of at most 8 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?

Answers

The possible amount of time is 90 seconds that it takes you to run around the baseball field

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The options are missing.

The options are:

90 seconds100 seconds110 seconds120 seconds

We have a radius of the circle is:

r = 150 ft

The perimeter of the circle = 2πr = 2π(150) = 300π ft

The running path distance = 40% of the perimeter of the circle

= 40% of 300π

= 120π ft

Assume the tape length is 50 m

Total distance = 200 + 200 + 120π - 50 = 726.99

The rate is 8 feet per second.

Time = distance/rate = 726.99/8 = 90.87 ≈ 90 seconds

Thus, the possible amount of time is 90 seconds that it takes you to run around the baseball field

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Which multiplication expression is equivalent to
x+8 2x+16
x² 2x² ?
O
O

X + 8
x + 8
32
X + 8
2

DONE


2x²
2x + 16
2x + 16
2x²
2x²
2x + 16

Answers

Answer:

x=0.5×1±√33

Step-by-step explanation:

x+8=x² and 2(x+8)=2x²

x²-x-8=0

anybody know the solution?

Answers

The reciprocal relationship of the graph is graph (a)

How to determine the reciprocal relationship?

The reciprocal relationship implies that:

The x and the y axes are swapped.

When the x and the y axes are swapped, the value on both axes swap their positions

As per the given graph, the reciprocal relationship is represented by graph (a)

This is shown in the attached graph

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Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.

Answers

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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The school that Natalie goes to is selling tickets to a play. On the first day of ticket sales the school sold 14 adult tickets and 3 student tickets for a total of $195. The school took in $306 on the second day by selling 15 adult tickets and 14 student tickets. What is the price each of one adult ticket and one student ticket

Answers

The price of an adult ticket is 12$.

And the price of a student ticket is 9$.

Let ‘x’ be the price of an adult ticket.

Let ‘y’ be the price of a student ticket.

On the first day of ticket sales, the school sold 14 adult tickets and 3 student tickets for a total of $195 i.e

14x + 3y = 195$    i)

15x + 14y = 306$   ii)

from equation i) we get the value of y,

y = (195 - 14x)/3

put this value of y in equation ii) we get,

= 15x +14{(195 - 14x)/3} = 306

= (45x +2730 - 196x)/3 = 306

= (45x +2730 - 196x) = 918

= -151x = -1812

= x =12$

then value of y we get ,

put value of x in y,

y = (195 - 14*12)/3

= 27/3

= 9$

hence, the price of an adult ticket is 12$.

And the price of a student ticket is 9$.

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It is estimated that recycling 1 ton of paper saves about 17 trees. About how many trees are saved if 8254 ton of paper are recycled

Answers

Answer:

142318 trees

Step-by-step explanation:

8254x17=140318


Mr. Thompson has a 1-meter-square whiteboard. He creates a square with sides on his whiteboard to post a weekly puzzle. How many square meters of whiteboard space does he use for the weekly puzzle?

Answers

Answero

Step-by-step explanation:

i dont know

1 square meter
Due ti the board being 1 meter

Write the product in its simplest form:
c•9c

Answers

i belive it is going to be 9c but i could be wrong
9c^2 probably?
c squared

hola alguien habla español parece que en esta region hablan ingles

Answers

si cómo le puedo ayudar?

Answer:

yo si apenas me lo descargue

A coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18). A line is drawn from Ping to Ari.

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

Answers

The place where the gym is located based on the information given about the coordinate plane is D. 15th Street and 14th Avenue

How to illustrate the information?

From the information given, the coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18) and a line is drawn from Ping to Ari.

In this case, the place where the gym is located based on the information given about the coordinate plane is the 15th Street and 14th Avenue.

The graph is attached to illustrate this.

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People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.

7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4

dot plot
box plot
stem-and-leaf plot
histogram

Answers

The graphs to use are box plots, histogram and dot plots

How to determine the graph?

From the question, the most important factors are:

Shape of distributionSpread of data

Using the box plots, histogram and dot plots, one would see the shape and the spread.

While the stem and leaf plot would show specific data values

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What is the answer to this

Answers

Answer:

i need help

Step-by-step explanation:

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